130152400 has 240 divisors, whose sum is σ = 389689344. Its totient is φ = 40803840.

The previous prime is 130152397. The next prime is 130152401. The reversal of 130152400 is 4251031.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130152401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2769177 + ... + 2769223.

Almost surely, 2^130152400 is an apocalyptic number.

130152400 is a gapful number since it is divisible by the number (10) 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 130152400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194844672).

130152400 is an abundant number, since it is smaller than the sum of its proper divisors (259536944).

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

130152400 is a wasteful number, since it uses less digits than its factorization.

130152400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 130152400 is about 11408.4354755593. The cubic root of 130152400 is about 506.7775803658. Note that the first 3 decimals are identical.

The spelling of 130152400 in words is "one hundred thirty million, one hundred fifty-two thousand, four hundred".