152850661200 has 150 divisors (see below), whose sum is σ = 548568873534. Its totient is φ = 40760167680.

The previous prime is 152850661189. The next prime is 152850661213. The reversal of 152850661200 is 2166058251.

152850661200 is a `hidden beast` number, since 1 + 5 + 28 + 506 + 6 + 120 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 21977469504 + 130873191696 = 148248^2 + 361764^2 .

It is a tau number, because it is divible by the number of its divisors (150).

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 polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2326407 + ... + 2391206.

Almost surely, 2^152850661200 is an apocalyptic number.

152850661200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152850661200 is an abundant number, since it is smaller than the sum of its proper divisors (395718212334).

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

152850661200 is a wasteful number, since it uses less digits than its factorization.

152850661200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4717643 (or 4717623 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 152850661200 in words is "one hundred fifty-two billion, eight hundred fifty million, six hundred sixty-one thousand, two hundred".