131876640 has 384 divisors, whose sum is σ = 544320000. Its totient is φ = 29804544.

The previous prime is 131876629. The next prime is 131876669. The reversal of 131876640 is 46678131.

131876640 is a `hidden beast` number, since 1 + 3 + 1 + 8 + 7 + 6 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 131876595 and 131876604.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1481716 + ... + 1481804.

It is an arithmetic number, because the mean of its divisors is an integer number (1417500).

Almost surely, 2^131876640 is an apocalyptic number.

131876640 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 131876640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272160000).

131876640 is an abundant number, since it is smaller than the sum of its proper divisors (412443360).

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

131876640 is an equidigital number, since it uses as much as digits as its factorization.

131876640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 131876640 is about 11483.7554832903. The cubic root of 131876640 is about 509.0056751245.

The spelling of 131876640 in words is "one hundred thirty-one million, eight hundred seventy-six thousand, six hundred forty".