152395200 has 252 divisors, whose sum is σ = 571179960. Its totient is φ = 38430720.

The previous prime is 152395097. The next prime is 152395207. The reversal of 152395200 is 2593251.

152395200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152395207) 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, 273322 + ... + 273878.

Almost surely, 2^152395200 is an apocalyptic number.

152395200 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 152395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285589980).

152395200 is an abundant number, since it is smaller than the sum of its proper divisors (418784760).

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

152395200 is a wasteful number, since it uses less digits than its factorization.

152395200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 152395200 is about 12344.8450780073. The cubic root of 152395200 is about 534.1424524216.

The spelling of 152395200 in words is "one hundred fifty-two million, three hundred ninety-five thousand, two hundred".