152882352 has 180 divisors, whose sum is σ = 509404896. Its totient is φ = 42658560.

The previous prime is 152882351. The next prime is 152882363. The reversal of 152882352 is 253288251.

152882352 is a `hidden beast` number, since 1 + 528 + 82 + 3 + 52 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (152882351) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 331402 + ... + 331862.

Almost surely, 2^152882352 is an apocalyptic number.

152882352 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 152882352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254702448).

152882352 is an abundant number, since it is smaller than the sum of its proper divisors (356522544).

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

152882352 is a wasteful number, since it uses less digits than its factorization.

152882352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 520 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 152882352 is about 12364.5603237640. The cubic root of 152882352 is about 534.7110000559.

The spelling of 152882352 in words is "one hundred fifty-two million, eight hundred eighty-two thousand, three hundred fifty-two".