130152633054756 has 192 divisors, whose sum is σ = 332113172160000. Its totient is φ = 39428996050944.

The previous prime is 130152633054739. The next prime is 130152633054757. The reversal of 130152633054756 is 657450336251031.

It is a junction number, because it is equal to n+sod(n) for n = 130152633054699 and 130152633054708.

It is not an unprimeable number, because it can be changed into a prime (130152633054757) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28312513050 + ... + 28312517646.

It is an arithmetic number, because the mean of its divisors is an integer number (1729756105000).

Almost surely, 2^{130152633054756} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130152633054756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166056586080000).

130152633054756 is an abundant number, since it is smaller than the sum of its proper divisors (201960539105244).

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

130152633054756 is a wasteful number, since it uses less digits than its factorization.

130152633054756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8518 (or 8516 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 51.

The spelling of 130152633054756 in words is "one hundred thirty trillion, one hundred fifty-two billion, six hundred thirty-three million, fifty-four thousand, seven hundred fifty-six".