130772492928 has 1024 divisors, whose sum is σ = 515654553600. Its totient is φ = 31585075200.

The previous prime is 130772492881. The next prime is 130772492947. The reversal of 130772492928 is 829294277031.

It is a happy number.

130772492928 is a `hidden beast` number, since 1 + 307 + 7 + 2 + 49 + 292 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 619774743 + ... + 619774953.

It is an arithmetic number, because the mean of its divisors is an integer number (503568900).

Almost surely, 2^130772492928 is an apocalyptic number.

130772492928 is a gapful number since it is divisible by the number (18) 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 130772492928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257827276800).

130772492928 is an abundant number, since it is smaller than the sum of its proper divisors (384882060672).

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

130772492928 is a wasteful number, since it uses less digits than its factorization.

130772492928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 130772492928 in words is "one hundred thirty billion, seven hundred seventy-two million, four hundred ninety-two thousand, nine hundred twenty-eight".