152252352 has 224 divisors, whose sum is σ = 525719040. Its totient is φ = 42301440.

The previous prime is 152252281. The next prime is 152252363. The reversal of 152252352 is 253252251.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 495783 + ... + 496089.

It is an arithmetic number, because the mean of its divisors is an integer number (2346960).

Almost surely, 2^152252352 is an apocalyptic number.

152252352 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 152252352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262859520).

152252352 is an abundant number, since it is smaller than the sum of its proper divisors (373466688).

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

152252352 is a wasteful number, since it uses less digits than its factorization.

152252352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 360 counting only the distinct ones).

The product of its digits is 6000, while the sum is 27.

The square root of 152252352 is about 12339.0579867346. The cubic root of 152252352 is about 533.9755070195.

The spelling of 152252352 in words is "one hundred fifty-two million, two hundred fifty-two thousand, three hundred fifty-two".