130125040591248 has 400 divisors, whose sum is σ = 383387956332480. Its totient is φ = 42599617708032.

The previous prime is 130125040591211. The next prime is 130125040591313. The reversal of 130125040591248 is 842195040521031.

130125040591248 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 2 + 50 + 4 + 0 + 591 + 2 + 4 + 8 = 666.

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 79 ways as a sum of consecutive naturals, for example, 61120262248 + ... + 61120264376.

Almost surely, 2^{130125040591248} is an apocalyptic number.

130125040591248 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 130125040591248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191693978166240).

130125040591248 is an abundant number, since it is smaller than the sum of its proper divisors (253262915741232).

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

130125040591248 is a wasteful number, since it uses less digits than its factorization.

130125040591248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3996 (or 3981 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 130125040591248 in words is "one hundred thirty trillion, one hundred twenty-five billion, forty million, five hundred ninety-one thousand, two hundred forty-eight".