152268800 has 78 divisors (see below), whose sum is σ = 377834448. Its totient is φ = 60866560.

The previous prime is 152268799. The next prime is 152268803. The reversal of 152268800 is 8862251.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152268803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 101657 + ... + 103143.

Almost surely, 2^152268800 is an apocalyptic number.

152268800 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 152268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188917224).

152268800 is an abundant number, since it is smaller than the sum of its proper divisors (225565648).

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

152268800 is an equidigital number, since it uses as much as digits as its factorization.

152268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 152268800 is about 12339.7244701817. The cubic root of 152268800 is about 533.9947349937.

The spelling of 152268800 in words is "one hundred fifty-two million, two hundred sixty-eight thousand, eight hundred".