152338200 has 384 divisors, whose sum is σ = 599961600. Its totient is φ = 31173120.

The previous prime is 152338171. The next prime is 152338201. The reversal of 152338200 is 2833251.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152338201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1835359 + ... + 1835441.

It is an arithmetic number, because the mean of its divisors is an integer number (1562400).

Almost surely, 2^152338200 is an apocalyptic number.

152338200 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 152338200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299980800).

152338200 is an abundant number, since it is smaller than the sum of its proper divisors (447623400).

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

152338200 is a wasteful number, since it uses less digits than its factorization.

152338200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 152338200 is about 12342.5362061450. The cubic root of 152338200 is about 534.0758494567.

The spelling of 152338200 in words is "one hundred fifty-two million, three hundred thirty-eight thousand, two hundred".