131290632 has 160 divisors (see below), whose sum is σ = 407198880. Its totient is φ = 39191040.

The previous prime is 131290619. The next prime is 131290639. The reversal of 131290632 is 236092131.

131290632 is a `hidden beast` number, since 1 + 3 + 1 + 29 + 0 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 131290596 and 131290605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131290639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 805383 + ... + 805545.

It is an arithmetic number, because the mean of its divisors is an integer number (2544993).

Almost surely, 2^131290632 is an apocalyptic number.

131290632 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 131290632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203599440).

131290632 is an abundant number, since it is smaller than the sum of its proper divisors (275908248).

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

131290632 is a wasteful number, since it uses less digits than its factorization.

131290632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 131290632 is about 11458.2124260288. The cubic root of 131290632 is about 508.2506151767.

The spelling of 131290632 in words is "one hundred thirty-one million, two hundred ninety thousand, six hundred thirty-two".