131838180 has 48 divisors (see below), whose sum is σ = 371649600. Its totient is φ = 34918528.

The previous prime is 131838167. The next prime is 131838191. The reversal of 131838180 is 81838131.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1567 + ... + 16313.

It is an arithmetic number, because the mean of its divisors is an integer number (7742700).

Almost surely, 2^131838180 is an apocalyptic number.

131838180 is a gapful number since it is divisible by the number (10) 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 131838180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185824800).

131838180 is an abundant number, since it is smaller than the sum of its proper divisors (239811420).

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

131838180 is a wasteful number, since it uses less digits than its factorization.

131838180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14908 (or 14906 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 131838180 is about 11482.0808218720. The cubic root of 131838180 is about 508.9561888227.

The spelling of 131838180 in words is "one hundred thirty-one million, eight hundred thirty-eight thousand, one hundred eighty".