131456512 has 80 divisors (see below), whose sum is σ = 303610032. Its totient is φ = 56197120.

The previous prime is 131456491. The next prime is 131456539. The reversal of 131456512 is 215654131.

It is a super-2 number, since 2×131456512² = 34561629094412288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95058 + ... + 96430.

Almost surely, 2^131456512 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 131456512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151805016).

131456512 is an abundant number, since it is smaller than the sum of its proper divisors (172153520).

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

131456512 is a wasteful number, since it uses less digits than its factorization.

131456512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419 (or 1403 counting only the distinct ones).

The product of its digits is 3600, while the sum is 28.

The square root of 131456512 is about 11465.4486174768. The cubic root of 131456512 is about 508.4645759367.

The spelling of 131456512 in words is "one hundred thirty-one million, four hundred fifty-six thousand, five hundred twelve".