130407552 has 192 divisors, whose sum is σ = 421031520. Its totient is φ = 38400000.

The previous prime is 130407551. The next prime is 130407601. The reversal of 130407552 is 255704031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×130407552² = 34012259237265408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130407551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 519427 + ... + 519677.

Almost surely, 2^130407552 is an apocalyptic number.

130407552 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 130407552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210515760).

130407552 is an abundant number, since it is smaller than the sum of its proper divisors (290623968).

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

130407552 is a wasteful number, since it uses less digits than its factorization.

130407552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 130407552 is about 11419.6126028863. The cubic root of 130407552 is about 507.1085280548.

The spelling of 130407552 in words is "one hundred thirty million, four hundred seven thousand, five hundred fifty-two".