130152672 has 72 divisors (see below), whose sum is σ = 398604024. Its totient is φ = 40045824.

The previous prime is 130152623. The next prime is 130152689. The reversal of 130152672 is 276251031.

It is a happy number.

130152672 is a `hidden beast` number, since 130 + 1 + 526 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a zygodrome in base 2.

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, 13638 + ... + 21125.

It is an arithmetic number, because the mean of its divisors is an integer number (5536167).

Almost surely, 2^130152672 is an apocalyptic number.

130152672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130152672 is an abundant number, since it is smaller than the sum of its proper divisors (268451352).

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

130152672 is a wasteful number, since it uses less digits than its factorization.

130152672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34792 (or 34781 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 130152672 is about 11408.4473965566. The cubic root of 130152672 is about 506.7779333966. Note that the first 3 decimals are identical.

The spelling of 130152672 in words is "one hundred thirty million, one hundred fifty-two thousand, six hundred seventy-two".