136427760 has 240 divisors, whose sum is σ = 547063200. Its totient is φ = 31159296.

The previous prime is 136427749. The next prime is 136427773. The reversal of 136427760 is 67724631.

136427760 is a `hidden beast` number, since 1 + 3 + 642 + 7 + 7 + 6 + 0 = 666.

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

It is a super-2 number, since 2×136427760² = 37225067397235200, which contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105196 + ... + 106484.

It is an arithmetic number, because the mean of its divisors is an integer number (2279430).

Almost surely, 2^136427760 is an apocalyptic number.

136427760 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 136427760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273531600).

136427760 is an abundant number, since it is smaller than the sum of its proper divisors (410635440).

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

136427760 is a wasteful number, since it uses less digits than its factorization.

136427760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1306 counting only the distinct ones).

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

The square root of 136427760 is about 11680.2294498011. The cubic root of 136427760 is about 514.7949163000.

The spelling of 136427760 in words is "one hundred thirty-six million, four hundred twenty-seven thousand, seven hundred sixty".