113152161024 has 1296 divisors, whose sum is σ = 441658526400. Its totient is φ = 27571912704.

The previous prime is 113152160977. The next prime is 113152161037. The reversal of 113152161024 is 420161251311.

113152161024 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 5 + 21 + 610 + 24 = 666.

113152161024 is a modest number, since divided by 161024 gives 113152 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1057496779 + ... + 1057496885.

It is an arithmetic number, because the mean of its divisors is an integer number (340785900).

Almost surely, 2^113152161024 is an apocalyptic number.

113152161024 is a gapful number since it is divisible by the number (14) 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 113152161024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220829263200).

113152161024 is an abundant number, since it is smaller than the sum of its proper divisors (328506365376).

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

113152161024 is a wasteful number, since it uses less digits than its factorization.

113152161024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 113152161024 in words is "one hundred thirteen billion, one hundred fifty-two million, one hundred sixty-one thousand, twenty-four".