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137132440000 = 265423149057
BaseRepresentation
bin111111110110110111…
…0101111100111000000
3111002221222212201221021
41333231232233213000
54221321401040000
6142555304035224
712623161336033
oct1775556574700
9432858781837
10137132440000
1153180761946
12226b1462b14
13cc1576ba2a
1468cc85d01a
1538790de11a
hex1fedbaf9c0

137132440000 has 140 divisors (see below), whose sum is σ = 354830780304. Its totient is φ = 52467712000.

The previous prime is 137132439949. The next prime is 137132440001. The reversal of 137132440000 is 44231731.

It is a super-2 number, since 2×1371324400002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137132440001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 845472 + ... + 994528.

Almost surely, 2137132440000 is an apocalyptic number.

137132440000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137132440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177415390152).

137132440000 is an abundant number, since it is smaller than the sum of its proper divisors (217698340304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137132440000 is an equidigital number, since it uses as much as digits as its factorization.

137132440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149112 (or 149087 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

Adding to 137132440000 its reverse (44231731), we get a palindrome (137176671731).

The spelling of 137132440000 in words is "one hundred thirty-seven billion, one hundred thirty-two million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 80 92 100 115 125 160 184 200 230 250 320 368 400 460 500 575 625 736 800 920 1000 1150 1250 1472 1600 1840 2000 2300 2500 2875 3680 4000 4600 5000 5750 7360 8000 9200 10000 11500 14375 18400 20000 23000 28750 36800 40000 46000 57500 92000 115000 149057 184000 230000 298114 460000 596228 745285 920000 1192456 1490570 2384912 2981140 3428311 3726425 4769824 5962280 6856622 7452850 9539648 11924560 13713244 14905700 17141555 18632125 23849120 27426488 29811400 34283110 37264250 47698240 54852976 59622800 68566220 74528500 85707775 93160625 109705952 119245600 137132440 149057000 171415550 186321250 219411904 238491200 274264880 298114000 342831100 372642500 428538875 548529760 596228000 685662200 745285000 857077750 1097059520 1192456000 1371324400 1490570000 1714155500 2142694375 2742648800 2981140000 3428311000 4285388750 5485297600 5962280000 6856622000 8570777500 13713244000 17141555000 27426488000 34283110000 68566220000 137132440000