152989200 has 360 divisors, whose sum is σ = 654833088. Its totient is φ = 32209920.

The previous prime is 152989189. The next prime is 152989229. The reversal of 152989200 is 2989251.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 327367 + ... + 327833.

Almost surely, 2^152989200 is an apocalyptic number.

152989200 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 152989200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327416544).

152989200 is an abundant number, since it is smaller than the sum of its proper divisors (501843888).

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

152989200 is a wasteful number, since it uses less digits than its factorization.

152989200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 152989200 is about 12368.8803050236. The cubic root of 152989200 is about 534.8355391661.

The spelling of 152989200 in words is "one hundred fifty-two million, nine hundred eighty-nine thousand, two hundred".