152668800 has 480 divisors, whose sum is σ = 612163200. Its totient is φ = 37324800.

The previous prime is 152668799. The next prime is 152668811. The reversal of 152668800 is 8866251.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4924785 + ... + 4924815.

It is an arithmetic number, because the mean of its divisors is an integer number (1275340).

Almost surely, 2^152668800 is an apocalyptic number.

152668800 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 152668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306081600).

152668800 is an abundant number, since it is smaller than the sum of its proper divisors (459494400).

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

152668800 is a wasteful number, since it uses less digits than its factorization.

152668800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 152668800 is about 12355.9216572460. The cubic root of 152668800 is about 534.4619156870.

The spelling of 152668800 in words is "one hundred fifty-two million, six hundred sixty-eight thousand, eight hundred".