130192571520 has 384 divisors, whose sum is σ = 519295121280. Its totient is φ = 29705011200.

The previous prime is 130192571519. The next prime is 130192571521. The reversal of 130192571520 is 25175291031.

130192571520 is a `hidden beast` number, since 1 + 30 + 1 + 9 + 2 + 571 + 52 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (130192571519) and next prime (130192571521).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×130192571520³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (130192571521) 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, 1016685 + ... + 1137555.

It is an arithmetic number, because the mean of its divisors is an integer number (1352331045).

Almost surely, 2^130192571520 is an apocalyptic number.

130192571520 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 130192571520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259647560640).

130192571520 is an abundant number, since it is smaller than the sum of its proper divisors (389102549760).

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

130192571520 is a wasteful number, since it uses less digits than its factorization.

130192571520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120924 (or 120909 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 130192571520 in words is "one hundred thirty billion, one hundred ninety-two million, five hundred seventy-one thousand, five hundred twenty".