136376064 has 108 divisors (see below), whose sum is σ = 429031512. Its totient is φ = 41318400.

The previous prime is 136376059. The next prime is 136376089. The reversal of 136376064 is 460673631.

It is a happy number.

136376064 is a `hidden beast` number, since 13 + 6 + 37 + 606 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22654 + ... + 28034.

It is an arithmetic number, because the mean of its divisors is an integer number (3972514).

Almost surely, 2^136376064 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 136376064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214515756).

136376064 is an abundant number, since it is smaller than the sum of its proper divisors (292655448).

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

136376064 is a wasteful number, since it uses less digits than its factorization.

136376064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5414 (or 5397 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 136376064 is about 11678.0162698979. The cubic root of 136376064 is about 514.7298850577.

It can be divided in two parts, 13637 and 6064, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 136376064 in words is "one hundred thirty-six million, three hundred seventy-six thousand, sixty-four".