131984640 has 360 divisors, whose sum is σ = 504540960. Its totient is φ = 32845824.

The previous prime is 131984599. The next prime is 131984687. The reversal of 131984640 is 46489131.

131984640 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 8 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 = 131984595 and 131984604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1969887 + ... + 1969953.

Almost surely, 2^131984640 is an apocalyptic number.

131984640 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 131984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252270480).

131984640 is an abundant number, since it is smaller than the sum of its proper divisors (372556320).

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

131984640 is an equidigital number, since it uses as much as digits as its factorization.

131984640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 131984640 is about 11488.4568154300. The cubic root of 131984640 is about 509.1445867953.

The spelling of 131984640 in words is "one hundred thirty-one million, nine hundred eighty-four thousand, six hundred forty".