152899200 has 144 divisors (see below), whose sum is σ = 545682150. Its totient is φ = 40765440.

The previous prime is 152899199. The next prime is 152899211. The reversal of 152899200 is 2998251.

It can be written as a sum of positive squares in 3 ways, for example, as 59351616 + 93547584 = 7704^2 + 9672^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 17 ways as a sum of consecutive naturals, for example, 26146 + ... + 31454.

Almost surely, 2^152899200 is an apocalyptic number.

152899200 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 152899200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272841075).

152899200 is an abundant number, since it is smaller than the sum of its proper divisors (392782950).

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

152899200 is a wasteful number, since it uses less digits than its factorization.

152899200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5339 (or 5319 counting only the distinct ones).

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

The square root of 152899200 is about 12365.2416070209. The cubic root of 152899200 is about 534.7306414771.

The spelling of 152899200 in words is "one hundred fifty-two million, eight hundred ninety-nine thousand, two hundred".