131940180 has 144 divisors (see below), whose sum is σ = 425617920. Its totient is φ = 32990976.

The previous prime is 131940143. The next prime is 131940181. The reversal of 131940180 is 81049131.

It is a super-2 number, since 2×131940180² = 34816422196864800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131940181) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 591549 + ... + 591771.

It is an arithmetic number, because the mean of its divisors is an integer number (2955680).

Almost surely, 2^131940180 is an apocalyptic number.

131940180 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 131940180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212808960).

131940180 is an abundant number, since it is smaller than the sum of its proper divisors (293677740).

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

131940180 is a wasteful number, since it uses less digits than its factorization.

131940180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 131940180 is about 11486.5216667188. The cubic root of 131940180 is about 509.0874106709.

The spelling of 131940180 in words is "one hundred thirty-one million, nine hundred forty thousand, one hundred eighty".