152838800 has 60 divisors (see below), whose sum is σ = 370730736. Its totient is φ = 60547200.

The previous prime is 152838799. The next prime is 152838817. The reversal of 152838800 is 8838251.

152838800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41015 + ... + 44585.

Almost surely, 2^152838800 is an apocalyptic number.

152838800 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 152838800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185365368).

152838800 is an abundant number, since it is smaller than the sum of its proper divisors (217891936).

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

152838800 is a wasteful number, since it uses less digits than its factorization.

152838800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3696 (or 3685 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 35.

The square root of 152838800 is about 12362.7990358171. The cubic root of 152838800 is about 534.6602203880.

The spelling of 152838800 in words is "one hundred fifty-two million, eight hundred thirty-eight thousand, eight hundred".