136813680 has 240 divisors, whose sum is σ = 493852320. Its totient is φ = 33841152.

The previous prime is 136813657. The next prime is 136813681. The reversal of 136813680 is 86318631.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136813681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 998572 + ... + 998708.

It is an arithmetic number, because the mean of its divisors is an integer number (2057718).

Almost surely, 2^136813680 is an apocalyptic number.

136813680 is a gapful number since it is divisible by the number (10) 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 136813680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246926160).

136813680 is an abundant number, since it is smaller than the sum of its proper divisors (357038640).

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

136813680 is a wasteful number, since it uses less digits than its factorization.

136813680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 136813680 is about 11696.7380068120. The cubic root of 136813680 is about 515.2798679917.

The spelling of 136813680 in words is "one hundred thirty-six million, eight hundred thirteen thousand, six hundred eighty".