152905246200 has 144 divisors (see below), whose sum is σ = 586864945680. Its totient is φ = 34949767680.

The previous prime is 152905246189. The next prime is 152905246201. The reversal of 152905246200 is 2642509251.

152905246200 is a `hidden beast` number, since 1 + 5 + 2 + 9 + 0 + 5 + 24 + 620 + 0 = 666.

It is a super-2 number, since 2×152905246200² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152905246201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6055069 + ... + 6080268.

Almost surely, 2^152905246200 is an apocalyptic number.

152905246200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152905246200 is an abundant number, since it is smaller than the sum of its proper divisors (433959699480).

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

152905246200 is a wasteful number, since it uses less digits than its factorization.

152905246200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12135366 (or 12135354 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 152905246200 in words is "one hundred fifty-two billion, nine hundred five million, two hundred forty-six thousand, two hundred".