131455872 has 160 divisors (see below), whose sum is σ = 404817600. Its totient is φ = 42301440.

The previous prime is 131455829. The next prime is 131455873. The reversal of 131455872 is 278554131.

131455872 is a `hidden beast` number, since 1 + 31 + 4 + 558 + 72 = 666.

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 (131455873) 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, 321204 + ... + 321612.

It is an arithmetic number, because the mean of its divisors is an integer number (2530110).

Almost surely, 2^131455872 is an apocalyptic number.

131455872 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 131455872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202408800).

131455872 is an abundant number, since it is smaller than the sum of its proper divisors (273361728).

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

131455872 is an equidigital number, since it uses as much as digits as its factorization.

131455872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 445 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 131455872 is about 11465.4207075013. The cubic root of 131455872 is about 508.4637507770.

The spelling of 131455872 in words is "one hundred thirty-one million, four hundred fifty-five thousand, eight hundred seventy-two".