152113390464 has 128 divisors (see below), whose sum is σ = 465409843200. Its totient is φ = 43118659584.

The previous prime is 152113390441. The next prime is 152113390477. The reversal of 152113390464 is 464093311251.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×152113390464² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118582 + ... + 564170.

It is an arithmetic number, because the mean of its divisors is an integer number (3636014400).

Almost surely, 2^152113390464 is an apocalyptic number.

152113390464 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 152113390464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232704921600).

152113390464 is an abundant number, since it is smaller than the sum of its proper divisors (313296452736).

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

152113390464 is a wasteful number, since it uses less digits than its factorization.

152113390464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445740 (or 445728 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 152113390464 in words is "one hundred fifty-two billion, one hundred thirteen million, three hundred ninety thousand, four hundred sixty-four".