136648512 has 448 divisors, whose sum is σ = 546201600. Its totient is φ = 32348160.

The previous prime is 136648471. The next prime is 136648529. The reversal of 136648512 is 215846631.

It is a happy number.

136648512 is a `hidden beast` number, since 1 + 3 + 6 + 648 + 5 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 1729689 + ... + 1729767.

It is an arithmetic number, because the mean of its divisors is an integer number (1219200).

Almost surely, 2^136648512 is an apocalyptic number.

136648512 is a gapful number since it is divisible by the number (12) 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 136648512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273100800).

136648512 is an abundant number, since it is smaller than the sum of its proper divisors (409553088).

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

136648512 is a wasteful number, since it uses less digits than its factorization.

136648512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 115 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 136648512 is about 11689.6754445964. The cubic root of 136648512 is about 515.0724276808.

The spelling of 136648512 in words is "one hundred thirty-six million, six hundred forty-eight thousand, five hundred twelve".