131581632 has 224 divisors, whose sum is σ = 454712832. Its totient is φ = 32587776.

The previous prime is 131581627. The next prime is 131581633. The reversal of 131581632 is 236185131.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 131581632.

It is not an unprimeable number, because it can be changed into a prime (131581633) 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, 296803 + ... + 297245.

It is an arithmetic number, because the mean of its divisors is an integer number (2029968).

Almost surely, 2^131581632 is an apocalyptic number.

131581632 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 131581632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227356416).

131581632 is an abundant number, since it is smaller than the sum of its proper divisors (323131200).

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

131581632 is a wasteful number, since it uses less digits than its factorization.

131581632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 485 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 131581632 is about 11470.9037133087. The cubic root of 131581632 is about 508.6258432468.

The spelling of 131581632 in words is "one hundred thirty-one million, five hundred eighty-one thousand, six hundred thirty-two".