152968960 has 72 divisors (see below), whose sum is σ = 369686016. Its totient is φ = 60641280.

The previous prime is 152968957. The next prime is 152968961. The reversal of 152968960 is 69869251.

It is a self number, because there is not a number n which added to its sum of digits gives 152968960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152968961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162090 + ... + 163030.

It is an arithmetic number, because the mean of its divisors is an integer number (5134528).

Almost surely, 2^152968960 is an apocalyptic number.

152968960 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 152968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184843008).

152968960 is an abundant number, since it is smaller than the sum of its proper divisors (216717056).

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

152968960 is an equidigital number, since it uses as much as digits as its factorization.

152968960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 46.

The square root of 152968960 is about 12368.0620955750. The cubic root of 152968960 is about 534.8119524277.

The spelling of 152968960 in words is "one hundred fifty-two million, nine hundred sixty-eight thousand, nine hundred sixty".