152664200 has 96 divisors (see below), whose sum is σ = 388100160. Its totient is φ = 55507200.

The previous prime is 152664173. The next prime is 152664229. The reversal of 152664200 is 2466251.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 152664200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184187 + ... + 185013.

It is an arithmetic number, because the mean of its divisors is an integer number (4042710).

Almost surely, 2^152664200 is an apocalyptic number.

152664200 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 152664200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194050080).

152664200 is an abundant number, since it is smaller than the sum of its proper divisors (235435960).

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

152664200 is a wasteful number, since it uses less digits than its factorization.

152664200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 152664200 is about 12355.7355102802. The cubic root of 152664200 is about 534.4565477500.

The spelling of 152664200 in words is "one hundred fifty-two million, six hundred sixty-four thousand, two hundred".