136491264 has 432 divisors, whose sum is σ = 521955840. Its totient is φ = 34836480.

The previous prime is 136491263. The next prime is 136491281. The reversal of 136491264 is 462194631.

136491264 is a `hidden beast` number, since 1 + 3 + 649 + 1 + 2 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 not an unprimeable number, because it can be changed into a prime (136491263) 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 47 ways as a sum of consecutive naturals, for example, 4402929 + ... + 4402959.

Almost surely, 2^136491264 is an apocalyptic number.

136491264 is a gapful number since it is divisible by the number (14) 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 136491264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260977920).

136491264 is an abundant number, since it is smaller than the sum of its proper divisors (385464576).

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

136491264 is a wasteful number, since it uses less digits than its factorization.

136491264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 56 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 136491264 is about 11682.9475732796. The cubic root of 136491264 is about 514.8747789938.

The spelling of 136491264 in words is "one hundred thirty-six million, four hundred ninety-one thousand, two hundred sixty-four".