131460732 has 180 divisors, whose sum is σ = 393448440. Its totient is φ = 38035008.

The previous prime is 131460731. The next prime is 131460803. The reversal of 131460732 is 237064131.

131460732 is a `hidden beast` number, since 13 + 14 + 607 + 32 = 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 = 131460696 and 131460705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131460731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2228119 + ... + 2228177.

Almost surely, 2^131460732 is an apocalyptic number.

131460732 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 131460732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196724220).

131460732 is an abundant number, since it is smaller than the sum of its proper divisors (261987708).

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

131460732 is a wasteful number, since it uses less digits than its factorization.

131460732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 131460732 is about 11465.6326471765. The cubic root of 131460732 is about 508.4700167666.

The spelling of 131460732 in words is "one hundred thirty-one million, four hundred sixty thousand, seven hundred thirty-two".