130577456 has 40 divisors (see below), whose sum is σ = 267566208. Its totient is φ = 61632000.

The previous prime is 130577413. The next prime is 130577471. The reversal of 130577456 is 654775031.

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, 17126 + ... + 23546.

Almost surely, 2^130577456 is an apocalyptic number.

130577456 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 130577456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133783104).

130577456 is an abundant number, since it is smaller than the sum of its proper divisors (136988752).

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

130577456 is a wasteful number, since it uses less digits than its factorization.

130577456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6501 (or 6495 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 38.

The square root of 130577456 is about 11427.0493129241. The cubic root of 130577456 is about 507.3286645290.

The spelling of 130577456 in words is "one hundred thirty million, five hundred seventy-seven thousand, four hundred fifty-six".