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137375432600 = 23527175772077
BaseRepresentation
bin111111111110000110…
…1101011111110011000
3111010120221010001010012
41333330031223332120
54222321102320400
6143035344141052
712632201624210
oct1777415537630
9433527101105
10137375432600
115329593987a
122275a907788
13cc53bc9a33
146912c33240
1538905dbd35
hex1ffc36bf98

137375432600 has 96 divisors (see below), whose sum is σ = 386498342880. Its totient is φ = 44329543680.

The previous prime is 137375432591. The next prime is 137375432641. The reversal of 137375432600 is 6234573731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2862239 + ... + 2909838.

It is an arithmetic number, because the mean of its divisors is an integer number (4026024405).

Almost surely, 2137375432600 is an apocalyptic number.

137375432600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137375432600 is an abundant number, since it is smaller than the sum of its proper divisors (249122910280).

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

137375432600 is a wasteful number, since it uses less digits than its factorization.

137375432600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5772117 (or 5772108 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 41.

The spelling of 137375432600 in words is "one hundred thirty-seven billion, three hundred seventy-five million, four hundred thirty-two thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 17 20 25 28 34 35 40 50 56 68 70 85 100 119 136 140 170 175 200 238 280 340 350 425 476 595 680 700 850 952 1190 1400 1700 2380 2975 3400 4760 5950 11900 23800 5772077 11544154 23088308 28860385 40404539 46176616 57720770 80809078 98125309 115441540 144301925 161618156 196250618 202022695 230883080 288603850 323236312 392501236 404045390 490626545 577207700 686877163 785002472 808090780 981253090 1010113475 1154415400 1373754326 1616181560 1962506180 2020226950 2453132725 2747508652 3434385815 3925012360 4040453900 4906265450 5495017304 6868771630 8080907800 9812530900 13737543260 17171929075 19625061800 27475086520 34343858150 68687716300 137375432600