131872356 has 144 divisors (see below), whose sum is σ = 420271488. Its totient is φ = 33868800.

The previous prime is 131872339. The next prime is 131872361. The reversal of 131872356 is 653278131.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 131872356.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 313026 + ... + 313446.

It is an arithmetic number, because the mean of its divisors is an integer number (2918552).

Almost surely, 2^131872356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131872356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210135744).

131872356 is an abundant number, since it is smaller than the sum of its proper divisors (288399132).

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

131872356 is a wasteful number, since it uses less digits than its factorization.

131872356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 557 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 131872356 is about 11483.5689574278. The cubic root of 131872356 is about 509.0001633980. Note that the first 3 decimals are identical.

The spelling of 131872356 in words is "one hundred thirty-one million, eight hundred seventy-two thousand, three hundred fifty-six".