152275968 has 264 divisors, whose sum is σ = 500712576. Its totient is φ = 44236800.

The previous prime is 152275967. The next prime is 152275969. The reversal of 152275968 is 869572251.

152275968 is a `hidden beast` number, since 1 + 52 + 2 + 7 + 596 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (152275967) and next prime (152275969).

Its product of digits (302400) is a multiple of the sum of its prime divisors (90).

It is not an unprimeable number, because it can be changed into a prime (152275961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3714028 + ... + 3714068.

Almost surely, 2^152275968 is an apocalyptic number.

152275968 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 152275968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250356288).

152275968 is an abundant number, since it is smaller than the sum of its proper divisors (348436608).

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

152275968 is a wasteful number, since it uses less digits than its factorization.

152275968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 90 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 152275968 is about 12340.0149108500. The cubic root of 152275968 is about 534.0031140668.

The spelling of 152275968 in words is "one hundred fifty-two million, two hundred seventy-five thousand, nine hundred sixty-eight".