131839488 has 300 divisors, whose sum is σ = 456016572. Its totient is φ = 37601280.

The previous prime is 131839447. The next prime is 131839493. The reversal of 131839488 is 884938131.

131839488 is a `hidden beast` number, since 131 + 8 + 39 + 488 = 666.

It is a super-2 number, since 2×131839488² = 34763301192204288, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 7755256 + ... + 7755272.

Almost surely, 2^131839488 is an apocalyptic number.

131839488 is a gapful number since it is divisible by the number (18) 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 131839488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228008286).

131839488 is an abundant number, since it is smaller than the sum of its proper divisors (324177084).

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

131839488 is an equidigital number, since it uses as much as digits as its factorization.

131839488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 33 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 131839488 is about 11482.1377800478. The cubic root of 131839488 is about 508.9578719783.

The spelling of 131839488 in words is "one hundred thirty-one million, eight hundred thirty-nine thousand, four hundred eighty-eight".