130762132176 has 480 divisors, whose sum is σ = 405118070784. Its totient is φ = 35997696000.

The previous prime is 130762132153. The next prime is 130762132181. The reversal of 130762132176 is 671231267031.

It is a super-2 number, since 2×130762132176² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1029623025 + ... + 1029623151.

Almost surely, 2^130762132176 is an apocalyptic number.

130762132176 is a gapful number since it is divisible by the number (16) 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 130762132176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202559035392).

130762132176 is an abundant number, since it is smaller than the sum of its proper divisors (274355938608).

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

130762132176 is a wasteful number, since it uses less digits than its factorization.

130762132176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The spelling of 130762132176 in words is "one hundred thirty billion, seven hundred sixty-two million, one hundred thirty-two thousand, one hundred seventy-six".