152557200 has 180 divisors, whose sum is σ = 546893568. Its totient is φ = 39340800.

The previous prime is 152557147. The next prime is 152557217. The reversal of 152557200 is 2755251.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 110917 + ... + 112283.

Almost surely, 2^152557200 is an apocalyptic number.

152557200 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 152557200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273446784).

152557200 is an abundant number, since it is smaller than the sum of its proper divisors (394336368).

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

152557200 is a wasteful number, since it uses less digits than its factorization.

152557200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 152557200 is about 12351.4047784048. The cubic root of 152557200 is about 534.3316544302.

The spelling of 152557200 in words is "one hundred fifty-two million, five hundred fifty-seven thousand, two hundred".