136601640 has 320 divisors, whose sum is σ = 554083200. Its totient is φ = 29486592.

The previous prime is 136601603. The next prime is 136601653. The reversal of 136601640 is 46106631.

136601640 is a `hidden beast` number, since 13 + 6 + 6 + 0 + 1 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 430762 + ... + 431078.

It is an arithmetic number, because the mean of its divisors is an integer number (1731510).

Almost surely, 2^136601640 is an apocalyptic number.

136601640 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 136601640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277041600).

136601640 is an abundant number, since it is smaller than the sum of its proper divisors (417481560).

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

136601640 is a wasteful number, since it uses less digits than its factorization.

136601640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 136601640 is about 11687.6704265649. The cubic root of 136601640 is about 515.0135290379.

The spelling of 136601640 in words is "one hundred thirty-six million, six hundred one thousand, six hundred forty".