136307864 has 64 divisors (see below), whose sum is σ = 322790400. Its totient is φ = 52416000.

The previous prime is 136307833. The next prime is 136307923. The reversal of 136307864 is 468703631.

136307864 = 462² + 463² + ... + 797².

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47264 + ... + 50064.

It is an arithmetic number, because the mean of its divisors is an integer number (5043600).

Almost surely, 2^136307864 is an apocalyptic number.

136307864 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 136307864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161395200).

136307864 is an abundant number, since it is smaller than the sum of its proper divisors (186482536).

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

136307864 is a wasteful number, since it uses less digits than its factorization.

136307864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2904 (or 2900 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 136307864 is about 11675.0958882572. The cubic root of 136307864 is about 514.6440673794.

The spelling of 136307864 in words is "one hundred thirty-six million, three hundred seven thousand, eight hundred sixty-four".