136582740 has 192 divisors, whose sum is σ = 507064320. Its totient is φ = 29842560.

The previous prime is 136582739. The next prime is 136582741. The reversal of 136582740 is 47285631.

136582740 is a `hidden beast` number, since 1 + 3 + 6 + 582 + 74 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (136582739) and next prime (136582741).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 136582695 and 136582704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136582741) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86155 + ... + 87725.

It is an arithmetic number, because the mean of its divisors is an integer number (2640960).

Almost surely, 2^136582740 is an apocalyptic number.

136582740 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 136582740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253532160).

136582740 is an abundant number, since it is smaller than the sum of its proper divisors (370481580).

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

136582740 is a wasteful number, since it uses less digits than its factorization.

136582740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 136582740 is about 11686.8618542361. The cubic root of 136582740 is about 514.9897757734.

The spelling of 136582740 in words is "one hundred thirty-six million, five hundred eighty-two thousand, seven hundred forty".