152836506900 has 432 divisors, whose sum is σ = 616541872128. Its totient is φ = 30733344000.

The previous prime is 152836506899. The next prime is 152836506923. The reversal of 152836506900 is 9605638251.

152836506900 is a `hidden beast` number, since 1 + 5 + 28 + 36 + 506 + 90 + 0 = 666.

It is a super-2 number, since 2×152836506900² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2112729 + ... + 2183871.

Almost surely, 2^152836506900 is an apocalyptic number.

152836506900 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 152836506900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308270936064).

152836506900 is an abundant number, since it is smaller than the sum of its proper divisors (463705365228).

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

152836506900 is a wasteful number, since it uses less digits than its factorization.

152836506900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71212 (or 71202 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 152836506900 in words is "one hundred fifty-two billion, eight hundred thirty-six million, five hundred six thousand, nine hundred".