131631294752256 has 320 divisors, whose sum is σ = 401350321310400. Its totient is φ = 37977735561216.

The previous prime is 131631294752231. The next prime is 131631294752257. The reversal of 131631294752256 is 652257492136131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 131631294752196 and 131631294752205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131631294752257) 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, 90592900 + ... + 92034428.

It is an arithmetic number, because the mean of its divisors is an integer number (1254219754095).

Almost surely, 2^{131631294752256} is an apocalyptic number.

131631294752256 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 131631294752256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200675160655200).

131631294752256 is an abundant number, since it is smaller than the sum of its proper divisors (269719026558144).

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

131631294752256 is a wasteful number, since it uses less digits than its factorization.

131631294752256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441849 (or 1441833 counting only the distinct ones).

The product of its digits is 16329600, while the sum is 57.

The spelling of 131631294752256 in words is "one hundred thirty-one trillion, six hundred thirty-one billion, two hundred ninety-four million, seven hundred fifty-two thousand, two hundred fifty-six".