152352000 has 324 divisors, whose sum is σ = 573078324. Its totient is φ = 38860800.

The previous prime is 152351989. The next prime is 152352019. The reversal of 152352000 is 253251.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

152352000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4875264 + 147476736 = 2208^2 + 12144^2 .

It is a super-2 number, since 2×152352000² = 46422263808000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6623989 + ... + 6624011.

Almost surely, 2^152352000 is an apocalyptic number.

152352000 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 152352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286539162).

152352000 is an abundant number, since it is smaller than the sum of its proper divisors (420726324).

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

152352000 is an equidigital number, since it uses as much as digits as its factorization.

152352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 152352000 is about 12343.0952357988. The cubic root of 152352000 is about 534.0919759091.

The spelling of 152352000 in words is "one hundred fifty-two million, three hundred fifty-two thousand".