130144391520 has 192 divisors, whose sum is σ = 481625512704. Its totient is φ = 29123205120.

The previous prime is 130144391501. The next prime is 130144391557. The reversal of 130144391520 is 25193441031.

130144391520 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×130144391520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 879382 + ... + 1016661.

It is an arithmetic number, because the mean of its divisors is an integer number (2508466212).

Almost surely, 2^130144391520 is an apocalyptic number.

130144391520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130144391520 is an abundant number, since it is smaller than the sum of its proper divisors (351481121184).

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

130144391520 is a wasteful number, since it uses less digits than its factorization.

130144391520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1896085 (or 1896077 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

It can be divided in two parts, 130144391 and 520, that added together give a triangular number (130144911 = T₁₆₁₃₃).

The spelling of 130144391520 in words is "one hundred thirty billion, one hundred forty-four million, three hundred ninety-one thousand, five hundred twenty".