131503738256 has 160 divisors (see below), whose sum is σ = 299383516800. Its totient is φ = 55378391040.

The previous prime is 131503738231. The next prime is 131503738259. The reversal of 131503738256 is 652837305131.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (131503738259) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13781135 + ... + 13790673.

It is an arithmetic number, because the mean of its divisors is an integer number (1871146980).

Almost surely, 2^131503738256 is an apocalyptic number.

131503738256 is a gapful number since it is divisible by the number (16) 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 131503738256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149691758400).

131503738256 is an abundant number, since it is smaller than the sum of its proper divisors (167879778544).

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

131503738256 is a wasteful number, since it uses less digits than its factorization.

131503738256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9697 (or 9691 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 44.

The spelling of 131503738256 in words is "one hundred thirty-one billion, five hundred three million, seven hundred thirty-eight thousand, two hundred fifty-six".