131172384 has 48 divisors (see below), whose sum is σ = 393519168. Its totient is φ = 37477632.

The previous prime is 131172367. The next prime is 131172389. The reversal of 131172384 is 483271131.

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

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

It is not an unprimeable number, because it can be changed into a prime (131172389) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96927 + ... + 98270.

It is an arithmetic number, because the mean of its divisors is an integer number (8198316).

Almost surely, 2^131172384 is an apocalyptic number.

131172384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131172384 is an abundant number, since it is smaller than the sum of its proper divisors (262346784).

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

131172384 is a wasteful number, since it uses less digits than its factorization.

131172384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195217 (or 195209 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 131172384 is about 11453.0512964886. The cubic root of 131172384 is about 508.0979826293.

The spelling of 131172384 in words is "one hundred thirty-one million, one hundred seventy-two thousand, three hundred eighty-four".