152912941502200 has 384 divisors, whose sum is σ = 405685769716800. Its totient is φ = 53534259609600.

The previous prime is 152912941502179. The next prime is 152912941502219. The reversal of 152912941502200 is 2205149219251.

152912941502200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2725061344 + ... + 2725117456.

Almost surely, 2^{152912941502200} is an apocalyptic number.

152912941502200 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 152912941502200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202842884858400).

152912941502200 is an abundant number, since it is smaller than the sum of its proper divisors (252772828214600).

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

152912941502200 is a wasteful number, since it uses less digits than its factorization.

152912941502200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56544 (or 56513 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 43.

The spelling of 152912941502200 in words is "one hundred fifty-two trillion, nine hundred twelve billion, nine hundred forty-one million, five hundred two thousand, two hundred".