152252656200 has 324 divisors, whose sum is σ = 544167641745. Its totient is φ = 38141798400.

The previous prime is 152252656189. The next prime is 152252656211. The reversal of 152252656200 is 2656252251.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

152252656200 is a `hidden beast` number, since 1 + 5 + 2 + 2 + 5 + 26 + 5 + 620 + 0 = 666.

152252656200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (152252656189) and next prime (152252656211).

It can be written as a sum of positive squares in 14 ways, for example, as 381889764 + 151870766436 = 19542^2 + 389706^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=275910.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 281427930 + ... + 281428470.

Almost surely, 2^152252656200 is an apocalyptic number.

152252656200 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 152252656200

152252656200 is an abundant number, since it is smaller than the sum of its proper divisors (391914985545).

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

152252656200 is a wasteful number, since it uses less digits than its factorization.

152252656200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 152252656200 in words is "one hundred fifty-two billion, two hundred fifty-two million, six hundred fifty-six thousand, two hundred".