131374872 has 80 divisors (see below), whose sum is σ = 380714400. Its totient is φ = 42275520.

The previous prime is 131374871. The next prime is 131374883. The reversal of 131374872 is 278473131.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131374871) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15297 + ... + 22287.

It is an arithmetic number, because the mean of its divisors is an integer number (4758930).

Almost surely, 2^131374872 is an apocalyptic number.

131374872 is a gapful number since it is divisible by the number (12) 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 131374872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190357200).

131374872 is an abundant number, since it is smaller than the sum of its proper divisors (249339528).

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

131374872 is a wasteful number, since it uses less digits than its factorization.

131374872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7038 (or 7025 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 131374872 is about 11461.8878026266. The cubic root of 131374872 is about 508.3592948728.

The spelling of 131374872 in words is "one hundred thirty-one million, three hundred seventy-four thousand, eight hundred seventy-two".