136361664 has 224 divisors, whose sum is σ = 433059840. Its totient is φ = 41969664.

The previous prime is 136361647. The next prime is 136361669. The reversal of 136361664 is 466163631.

136361664 is a `hidden beast` number, since 1 + 3 + 636 + 16 + 6 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136361669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1867932 + ... + 1868004.

Almost surely, 2^136361664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136361664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216529920).

136361664 is an abundant number, since it is smaller than the sum of its proper divisors (296698176).

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

136361664 is a wasteful number, since it uses less digits than its factorization.

136361664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 148 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 136361664 is about 11677.3997105520. The cubic root of 136361664 is about 514.7117675792.

The spelling of 136361664 in words is "one hundred thirty-six million, three hundred sixty-one thousand, six hundred sixty-four".