136772064 has 336 divisors, whose sum is σ = 485869104. Its totient is φ = 37324800.

The previous prime is 136772047. The next prime is 136772071. The reversal of 136772064 is 460277631.

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

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3335884 + ... + 3335924.

It is an arithmetic number, because the mean of its divisors is an integer number (1446039).

Almost surely, 2^136772064 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 136772064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242934552).

136772064 is an abundant number, since it is smaller than the sum of its proper divisors (349097040).

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

136772064 is a wasteful number, since it uses less digits than its factorization.

136772064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 136772064 is about 11694.9589139937. The cubic root of 136772064 is about 515.2276167314.

The spelling of 136772064 in words is "one hundred thirty-six million, seven hundred seventy-two thousand, sixty-four".