130532400 has 180 divisors, whose sum is σ = 458742960. Its totient is φ = 34368000.

The previous prime is 130532399. The next prime is 130532417. The reversal of 130532400 is 4235031.

130532400 is a `hidden beast` number, since 130 + 532 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 363421 + ... + 363779.

It is an arithmetic number, because the mean of its divisors is an integer number (2548572).

Almost surely, 2^130532400 is an apocalyptic number.

130532400 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 130532400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229371480).

130532400 is an abundant number, since it is smaller than the sum of its proper divisors (328210560).

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

130532400 is a wasteful number, since it uses less digits than its factorization.

130532400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 130532400 is about 11425.0776802611. The cubic root of 130532400 is about 507.2703062421.

Adding to 130532400 its reverse (4235031), we get a palindrome (134767431).

The spelling of 130532400 in words is "one hundred thirty million, five hundred thirty-two thousand, four hundred".