131479630283232 has 1536 divisors, whose sum is σ = 487799901388800. Its totient is φ = 33468215040000.

The previous prime is 131479630283219. The next prime is 131479630283269. The reversal of 131479630283232 is 232382036974131.

131479630283232 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 7 + 9 + 6 + 302 + 8 + 323 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 422764084357 + ... + 422764084667.

It is an arithmetic number, because the mean of its divisors is an integer number (317578060800).

Almost surely, 2^{131479630283232} is an apocalyptic number.

131479630283232 is a gapful number since it is divisible by the number (12) 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 131479630283232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243899950694400).

131479630283232 is an abundant number, since it is smaller than the sum of its proper divisors (356320271105568).

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

131479630283232 is a wasteful number, since it uses less digits than its factorization.

131479630283232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 131479630283232 in words is "one hundred thirty-one trillion, four hundred seventy-nine billion, six hundred thirty million, two hundred eighty-three thousand, two hundred thirty-two".