131552640 has 256 divisors, whose sum is σ = 487641600. Its totient is φ = 33454080.

The previous prime is 131552633. The next prime is 131552651. The reversal of 131552640 is 46255131.

131552640 is a `hidden beast` number, since 1 + 3 + 15 + 5 + 2 + 640 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397275 + ... + 397605.

It is an arithmetic number, because the mean of its divisors is an integer number (1904850).

Almost surely, 2^131552640 is an apocalyptic number.

131552640 is a gapful number since it is divisible by the number (10) 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 131552640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243820800).

131552640 is an abundant number, since it is smaller than the sum of its proper divisors (356088960).

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

131552640 is a wasteful number, since it uses less digits than its factorization.

131552640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 131552640 is about 11469.6399246009. The cubic root of 131552640 is about 508.5884845279.

The spelling of 131552640 in words is "one hundred thirty-one million, five hundred fifty-two thousand, six hundred forty".