152167968 has 72 divisors (see below), whose sum is σ = 434489328. Its totient is φ = 50516352.

The previous prime is 152167943. The next prime is 152167973. The reversal of 152167968 is 869761251.

152167968 is a `hidden beast` number, since 1 + 521 + 67 + 9 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80571 + ... + 82437.

It is an arithmetic number, because the mean of its divisors is an integer number (6034574).

Almost surely, 2^152167968 is an apocalyptic number.

152167968 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 152167968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217244664).

152167968 is an abundant number, since it is smaller than the sum of its proper divisors (282321360).

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

152167968 is a wasteful number, since it uses less digits than its factorization.

152167968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2166 (or 2155 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 152167968 is about 12335.6381269880. The cubic root of 152167968 is about 533.8768389954.

The spelling of 152167968 in words is "one hundred fifty-two million, one hundred sixty-seven thousand, nine hundred sixty-eight".