131745456 has 120 divisors (see below), whose sum is σ = 384687680. Its totient is φ = 42052608.

The previous prime is 131745437. The next prime is 131745469. The reversal of 131745456 is 654547131.

131745456 is a `hidden beast` number, since 131 + 74 + 5 + 456 = 666.

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 131745456.

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, 420756 + ... + 421068.

Almost surely, 2^131745456 is an apocalyptic number.

131745456 is a gapful number since it is divisible by the number (16) 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 131745456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192343840).

131745456 is an abundant number, since it is smaller than the sum of its proper divisors (252942224).

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

131745456 is a wasteful number, since it uses less digits than its factorization.

131745456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 434 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 131745456 is about 11478.0423417933. The cubic root of 131745456 is about 508.8368417016.

The spelling of 131745456 in words is "one hundred thirty-one million, seven hundred forty-five thousand, four hundred fifty-six".