136152900 has 216 divisors, whose sum is σ = 477719424. Its totient is φ = 33436800.

The previous prime is 136152871. The next prime is 136152901. The reversal of 136152900 is 9251631.

136152900 is a `hidden beast` number, since 136 + 1 + 529 + 0 + 0 = 666.

It is a super-2 number, since 2×136152900² = 37075224356820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (136152901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 315685 + ... + 316115.

It is an arithmetic number, because the mean of its divisors is an integer number (2211664).

Almost surely, 2^136152900 is an apocalyptic number.

136152900 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 136152900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238859712).

136152900 is an abundant number, since it is smaller than the sum of its proper divisors (341566524).

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

136152900 is a wasteful number, since it uses less digits than its factorization.

136152900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 136152900 is about 11668.4574816040. The cubic root of 136152900 is about 514.4489660300.

The spelling of 136152900 in words is "one hundred thirty-six million, one hundred fifty-two thousand, nine hundred".