136583040 has 256 divisors, whose sum is σ = 493516800. Its totient is φ = 31825920.

The previous prime is 136583009. The next prime is 136583071. The reversal of 136583040 is 40385631.

It is an interprime number because it is at equal distance from previous prime (136583009) and next prime (136583071).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 136582989 and 136583007.

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, 612369 + ... + 612591.

It is an arithmetic number, because the mean of its divisors is an integer number (1927800).

Almost surely, 2^136583040 is an apocalyptic number.

136583040 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 136583040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246758400).

136583040 is an abundant number, since it is smaller than the sum of its proper divisors (356933760).

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

136583040 is a wasteful number, since it uses less digits than its factorization.

136583040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 136583040 is about 11686.8746891545. The cubic root of 136583040 is about 514.9901528265.

The spelling of 136583040 in words is "one hundred thirty-six million, five hundred eighty-three thousand, forty".