136757680 has 40 divisors (see below), whose sum is σ = 320095584. Its totient is φ = 54336000.

The previous prime is 136757671. The next prime is 136757683. The reversal of 136757680 is 86757631.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (136757683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6420 + ... + 17740.

Almost surely, 2^136757680 is an apocalyptic number.

136757680 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 136757680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160047792).

136757680 is an abundant number, since it is smaller than the sum of its proper divisors (183337904).

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

136757680 is a wasteful number, since it uses less digits than its factorization.

136757680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11485 (or 11479 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 43.

The square root of 136757680 is about 11694.3439320041. The cubic root of 136757680 is about 515.2095543346.

The spelling of 136757680 in words is "one hundred thirty-six million, seven hundred fifty-seven thousand, six hundred eighty".