152455968 has 144 divisors (see below), whose sum is σ = 506338560. Its totient is φ = 42605568.

The previous prime is 152455903. The next prime is 152455993. The reversal of 152455968 is 869554251.

152455968 is a `hidden beast` number, since 1 + 52 + 4 + 5 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93948 + ... + 95556.

It is an arithmetic number, because the mean of its divisors is an integer number (3516240).

Almost surely, 2^152455968 is an apocalyptic number.

152455968 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 152455968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253169280).

152455968 is an abundant number, since it is smaller than the sum of its proper divisors (353882592).

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

152455968 is a wasteful number, since it uses less digits than its factorization.

152455968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1668 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The square root of 152455968 is about 12347.3061029522. The cubic root of 152455968 is about 534.2134399050.

The spelling of 152455968 in words is "one hundred fifty-two million, four hundred fifty-five thousand, nine hundred sixty-eight".