130157059032000 has 8960 divisors, whose sum is σ = 695931844608000. Its totient is φ = 23120474112000.

The previous prime is 130157059031971. The next prime is 130157059032031. The reversal of 130157059032000 is 230950751031.

130157059032000 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 570 + 59 + 0 + 32 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 1279 ways as a sum of consecutive naturals, for example, 727134407911 + ... + 727134408089.

It is an arithmetic number, because the mean of its divisors is an integer number (77670964800).

Almost surely, 2^{130157059032000} is an apocalyptic number.

130157059032000 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 130157059032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347965922304000).

130157059032000 is an abundant number, since it is smaller than the sum of its proper divisors (565774785576000).

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

130157059032000 is a wasteful number, since it uses less digits than its factorization.

130157059032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The spelling of 130157059032000 in words is "one hundred thirty trillion, one hundred fifty-seven billion, fifty-nine million, thirty-two thousand".