152167680 has 576 divisors, whose sum is σ = 671086080. Its totient is φ = 31850496.

The previous prime is 152167627. The next prime is 152167699. The reversal of 152167680 is 86761251.

152167680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4112622 + ... + 4112658.

It is an arithmetic number, because the mean of its divisors is an integer number (1165080).

Almost surely, 2^152167680 is an apocalyptic number.

152167680 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 152167680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335543040).

152167680 is an abundant number, since it is smaller than the sum of its proper divisors (518918400).

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

152167680 is a wasteful number, since it uses less digits than its factorization.

152167680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 152167680 is about 12335.6264534883. The cubic root of 152167680 is about 533.8765021820.

The spelling of 152167680 in words is "one hundred fifty-two million, one hundred sixty-seven thousand, six hundred eighty".