136185840 has 160 divisors (see below), whose sum is σ = 536156160. Its totient is φ = 31124736.

The previous prime is 136185839. The next prime is 136185857. The reversal of 136185840 is 48581631.

136185840 is a `hidden beast` number, since 13 + 61 + 8 + 584 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 136185795 and 136185804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10617 + ... + 19623.

It is an arithmetic number, because the mean of its divisors is an integer number (3350976).

Almost surely, 2^136185840 is an apocalyptic number.

136185840 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 136185840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268078080).

136185840 is an abundant number, since it is smaller than the sum of its proper divisors (399970320).

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

136185840 is a wasteful number, since it uses less digits than its factorization.

136185840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9036 (or 9024 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 136185840 is about 11669.8688938651. The cubic root of 136185840 is about 514.4904502303.

The spelling of 136185840 in words is "one hundred thirty-six million, one hundred eighty-five thousand, eight hundred forty".