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131257188140 = 2251319199133519
BaseRepresentation
bin111101000111110001…
…0011011111100101100
3110112210112120000112112
41322033202123330230
54122303320010030
6140144305023152
712324450455621
oct1721742337454
9415715500475
10131257188140
11507362961a1
1221531924ab8
13c4ba4a0140
1464d2444348
1536333e8a95
hex1e8f89bf2c

131257188140 has 96 divisors (see below), whose sum is σ = 314039040000. Its totient is φ = 45682382592.

The previous prime is 131257188131. The next prime is 131257188169. The reversal of 131257188140 is 41881752131.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 916301 + ... + 1049819.

It is an arithmetic number, because the mean of its divisors is an integer number (3271240000).

Almost surely, 2131257188140 is an apocalyptic number.

131257188140 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 131257188140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157019520000).

131257188140 is an abundant number, since it is smaller than the sum of its proper divisors (182781851860).

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

131257188140 is a wasteful number, since it uses less digits than its factorization.

131257188140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133759 (or 133757 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 41.

The spelling of 131257188140 in words is "one hundred thirty-one billion, two hundred fifty-seven million, one hundred eighty-eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 199 247 260 380 398 494 796 988 995 1235 1990 2470 2587 3781 3980 4940 5174 7562 10348 12935 15124 18905 25870 37810 49153 51740 75620 98306 133519 196612 245765 267038 491530 534076 667595 983060 1335190 1735747 2536861 2670380 3471494 5073722 6942988 8678735 10147444 12684305 17357470 25368610 26570281 32979193 34714940 50737220 53140562 65958386 106281124 131916772 132851405 164895965 265702810 329791930 345413653 504835339 531405620 659583860 690827306 1009670678 1381654612 1727068265 2019341356 2524176695 3454136530 5048353390 6562859407 6908273060 10096706780 13125718814 26251437628 32814297035 65628594070 131257188140