130153200 has 60 divisors (see below), whose sum is σ = 416927928. Its totient is φ = 34707200.

The previous prime is 130153193. The next prime is 130153223. The reversal of 130153200 is 2351031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 130153200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53031 + ... + 55430.

Almost surely, 2^130153200 is an apocalyptic number.

130153200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130153200 is an abundant number, since it is smaller than the sum of its proper divisors (286774728).

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

130153200 is a wasteful number, since it uses less digits than its factorization.

130153200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108482 (or 108471 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 130153200 is about 11408.4705372806. The cubic root of 130153200 is about 506.7786186902.

The spelling of 130153200 in words is "one hundred thirty million, one hundred fifty-three thousand, two hundred".