136536192 has 160 divisors (see below), whose sum is σ = 438017580. Its totient is φ = 41969664.

The previous prime is 136536181. The next prime is 136536193. The reversal of 136536192 is 291635631.

136536192 is a `hidden beast` number, since 1 + 36 + 5 + 3 + 619 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 97298496 + 39237696 = 9864^2 + 6264^2 .

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

It is not an unprimeable number, because it can be changed into a prime (136536193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 134278 + ... + 135290.

Almost surely, 2^136536192 is an apocalyptic number.

136536192 is a gapful number since it is divisible by the number (12) 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 136536192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219008790).

136536192 is an abundant number, since it is smaller than the sum of its proper divisors (301481388).

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

136536192 is a wasteful number, since it uses less digits than its factorization.

136536192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1031 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 136536192 is about 11684.8702175078. The cubic root of 136536192 is about 514.9312655306.

The spelling of 136536192 in words is "one hundred thirty-six million, five hundred thirty-six thousand, one hundred ninety-two".