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131375796 = 223172272837
BaseRepresentation
bin1111101010010…
…10001010110100
3100011012120201020
413311022022310
5232113011141
621011501140
73153450546
oct765121264
9304176636
10131375796
1168181642
1237bb77b0
13212aaa76
141363b696
15b801266
hex7d4a2b4

131375796 has 48 divisors (see below), whose sum is σ = 326120256. Its totient is φ = 41019904.

The previous prime is 131375791. The next prime is 131375801. The reversal of 131375796 is 697573131.

It is an interprime number because it is at equal distance from previous prime (131375791) and next prime (131375801).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131375791) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44890 + ... + 47726.

It is an arithmetic number, because the mean of its divisors is an integer number (6794172).

Almost surely, 2131375796 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131375796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163060128).

131375796 is an abundant number, since it is smaller than the sum of its proper divisors (194744460).

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

131375796 is a wasteful number, since it uses less digits than its factorization.

131375796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3088 (or 3086 counting only the distinct ones).

The product of its digits is 119070, while the sum is 42.

The square root of 131375796 is about 11461.9281100520. The cubic root of 131375796 is about 508.3604866859.

The spelling of 131375796 in words is "one hundred thirty-one million, three hundred seventy-five thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 227 454 681 908 1362 2724 2837 3859 5674 7718 8511 11348 11577 15436 17022 23154 34044 46308 48229 96458 144687 192916 289374 578748 643999 1287998 1931997 2575996 3863994 7727988 10947983 21895966 32843949 43791932 65687898 131375796