131872000 has 144 divisors (see below), whose sum is σ = 354895632. Its totient is φ = 48537600.

The previous prime is 131871991. The next prime is 131872049. The reversal of 131872000 is 278131.

It can be written as a sum of positive squares in 8 ways, for example, as 101929216 + 29942784 = 10096^2 + 5472^2 .

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 415842 + ... + 416158.

It is an arithmetic number, because the mean of its divisors is an integer number (2464553).

Almost surely, 2^131872000 is an apocalyptic number.

131872000 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 131872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177447816).

131872000 is an abundant number, since it is smaller than the sum of its proper divisors (223023632).

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

131872000 is an equidigital number, since it uses as much as digits as its factorization.

131872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 131872000 is about 11483.5534570097. The cubic root of 131872000 is about 508.9997053687. Note that the first 3 decimals are identical.

The spelling of 131872000 in words is "one hundred thirty-one million, eight hundred seventy-two thousand".