152068992 has 64 divisors (see below), whose sum is σ = 407151360. Its totient is φ = 50286080.

The previous prime is 152068979. The next prime is 152068993. The reversal of 152068992 is 299860251.

152068992 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 (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152068993) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48793 + ... + 51815.

It is an arithmetic number, because the mean of its divisors is an integer number (6361740).

Almost surely, 2^152068992 is an apocalyptic number.

152068992 is a gapful number since it is divisible by the number (12) 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 152068992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203575680).

152068992 is an abundant number, since it is smaller than the sum of its proper divisors (255082368).

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

152068992 is a wasteful number, since it uses less digits than its factorization.

152068992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3171 (or 3159 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 152068992 is about 12331.6256835828. The cubic root of 152068992 is about 533.7610624285.

The spelling of 152068992 in words is "one hundred fifty-two million, sixty-eight thousand, nine hundred ninety-two".