131375272 has 96 divisors (see below), whose sum is σ = 311904000. Its totient is φ = 51528960.

The previous prime is 131375267. The next prime is 131375297. The reversal of 131375272 is 272573131.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230604 + ... + 231172.

It is an arithmetic number, because the mean of its divisors is an integer number (3249000).

Almost surely, 2^131375272 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 131375272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155952000).

131375272 is an abundant number, since it is smaller than the sum of its proper divisors (180528728).

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

131375272 is a wasteful number, since it uses less digits than its factorization.

131375272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 628 counting only the distinct ones).

The product of its digits is 8820, while the sum is 31.

The square root of 131375272 is about 11461.9052517459. The cubic root of 131375272 is about 508.3598108099.

The spelling of 131375272 in words is "one hundred thirty-one million, three hundred seventy-five thousand, two hundred seventy-two".