131814432 has 48 divisors (see below), whose sum is σ = 384461280. Its totient is φ = 43937856.

The previous prime is 131814377. The next prime is 131814433. The reversal of 131814432 is 234418131.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 131814396 and 131814405.

It is not an unprimeable number, because it can be changed into a prime (131814433) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 75418 + ... + 77145.

It is an arithmetic number, because the mean of its divisors is an integer number (8009610).

Almost surely, 2^131814432 is an apocalyptic number.

131814432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131814432 is an abundant number, since it is smaller than the sum of its proper divisors (252646848).

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

131814432 is a wasteful number, since it uses less digits than its factorization.

131814432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152582 (or 152568 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 131814432 is about 11481.0466421838. The cubic root of 131814432 is about 508.9256275762.

The spelling of 131814432 in words is "one hundred thirty-one million, eight hundred fourteen thousand, four hundred thirty-two".