130971520 has 64 divisors (see below), whose sum is σ = 316049040. Its totient is φ = 51896320.

The previous prime is 130971481. The next prime is 130971521. The reversal of 130971520 is 25179031.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×130971520² = 34307078102220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130971521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71415 + ... + 73225.

Almost surely, 2^130971520 is an apocalyptic number.

130971520 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 130971520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158024520).

130971520 is an abundant number, since it is smaller than the sum of its proper divisors (185077520).

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

130971520 is a wasteful number, since it uses less digits than its factorization.

130971520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 130971520 is about 11444.2789200543. The cubic root of 130971520 is about 507.8385003397.

The spelling of 130971520 in words is "one hundred thirty million, nine hundred seventy-one thousand, five hundred twenty".