131630976 has 96 divisors (see below), whose sum is σ = 381649320. Its totient is φ = 43545600.

The previous prime is 131630957. The next prime is 131630981. The reversal of 131630976 is 679036131.

131630976 is a `hidden beast` number, since 13 + 1 + 630 + 9 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 131630976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 187426 + ... + 188126.

Almost surely, 2^131630976 is an apocalyptic number.

131630976 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 131630976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190824660).

131630976 is an abundant number, since it is smaller than the sum of its proper divisors (250018344).

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

131630976 is a wasteful number, since it uses less digits than its factorization.

131630976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 131630976 is about 11473.0543448552. The cubic root of 131630976 is about 508.6894146754.

The spelling of 131630976 in words is "one hundred thirty-one million, six hundred thirty thousand, nine hundred seventy-six".