152328960 has 216 divisors, whose sum is σ = 602652960. Its totient is φ = 34799616.

The previous prime is 152328949. The next prime is 152328971. The reversal of 152328960 is 69823251.

It is an interprime number because it is at equal distance from previous prime (152328949) and next prime (152328971).

It is a super-3 number, since 3×152328960³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 79696 + ... + 81584.

It is an arithmetic number, because the mean of its divisors is an integer number (2790060).

Almost surely, 2^152328960 is an apocalyptic number.

152328960 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 152328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301326480).

152328960 is an abundant number, since it is smaller than the sum of its proper divisors (450324000).

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

152328960 is a wasteful number, since it uses less digits than its factorization.

152328960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 152328960 is about 12342.1618851804. The cubic root of 152328960 is about 534.0650512008.

The spelling of 152328960 in words is "one hundred fifty-two million, three hundred twenty-eight thousand, nine hundred sixty".