152485162200 has 768 divisors, whose sum is σ = 636549734400. Its totient is φ = 32808499200.

The previous prime is 152485162153. The next prime is 152485162213. The reversal of 152485162200 is 2261584251.

152485162200 is a `hidden beast` number, since 1 + 5 + 24 + 8 + 5 + 1 + 622 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 43354842 + ... + 43358358.

It is an arithmetic number, because the mean of its divisors is an integer number (828840800).

Almost surely, 2^152485162200 is an apocalyptic number.

152485162200 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 152485162200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318274867200).

152485162200 is an abundant number, since it is smaller than the sum of its proper divisors (484064572200).

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

152485162200 is a wasteful number, since it uses less digits than its factorization.

152485162200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3617 (or 3602 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 152485162200 in words is "one hundred fifty-two billion, four hundred eighty-five million, one hundred sixty-two thousand, two hundred".