131468832 has 288 divisors, whose sum is σ = 445798080. Its totient is φ = 37739520.

The previous prime is 131468819. The next prime is 131468863. The reversal of 131468832 is 238864131.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2480518 + ... + 2480570.

It is an arithmetic number, because the mean of its divisors is an integer number (1547910).

Almost surely, 2^131468832 is an apocalyptic number.

131468832 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 131468832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222899040).

131468832 is an abundant number, since it is smaller than the sum of its proper divisors (314329248).

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

131468832 is a wasteful number, since it uses less digits than its factorization.

131468832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 98 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 131468832 is about 11465.9858712629. The cubic root of 131468832 is about 508.4804597394.

The spelling of 131468832 in words is "one hundred thirty-one million, four hundred sixty-eight thousand, eight hundred thirty-two".