136085040 has 480 divisors, whose sum is σ = 589295616. Its totient is φ = 27371520.

The previous prime is 136085021. The next prime is 136085041. The reversal of 136085040 is 40580631.

136085040 is a `hidden beast` number, since 1 + 3 + 608 + 50 + 4 + 0 = 666.

It is a super-2 number, since 2×136085040² = 37038276223603200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 136084995 and 136085013.

It is not an unprimeable number, because it can be changed into a prime (136085041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2031087 + ... + 2031153.

Almost surely, 2^136085040 is an apocalyptic number.

136085040 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 136085040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294647808).

136085040 is an abundant number, since it is smaller than the sum of its proper divisors (453210576).

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

136085040 is a wasteful number, since it uses less digits than its factorization.

136085040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 136085040 is about 11665.5492798239. The cubic root of 136085040 is about 514.3634829485.

The spelling of 136085040 in words is "one hundred thirty-six million, eighty-five thousand, forty".