152466411160200 has 192 divisors, whose sum is σ = 514677904488000. Its totient is φ = 37189629066240.

The previous prime is 152466411160123. The next prime is 152466411160223. The reversal of 152466411160200 is 2061114664251.

It is a super-2 number, since 2×152466411160200² (a number of 29 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 230259859 + ... + 230921058.

It is an arithmetic number, because the mean of its divisors is an integer number (2680614085875).

Almost surely, 2^{152466411160200} is an apocalyptic number.

152466411160200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152466411160200 is an abundant number, since it is smaller than the sum of its proper divisors (362211493327800).

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

152466411160200 is a wasteful number, since it uses less digits than its factorization.

152466411160200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461180984 (or 461180975 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 152466411160200 in words is "one hundred fifty-two trillion, four hundred sixty-six billion, four hundred eleven million, one hundred sixty thousand, two hundred".