136097640 has 192 divisors, whose sum is σ = 515548800. Its totient is φ = 30491136.

The previous prime is 136097639. The next prime is 136097641. The reversal of 136097640 is 46790631.

136097640 is a `hidden beast` number, since 1 + 3 + 6 + 0 + 9 + 7 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (136097639) and next prime (136097641).

It is a super-2 number, since 2×136097640² = 37045135227139200, which contains 22 as substring.

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 = 136097595 and 136097604.

It is not an unprimeable number, because it can be changed into a prime (136097641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133051 + ... + 134069.

It is an arithmetic number, because the mean of its divisors is an integer number (2685150).

Almost surely, 2^136097640 is an apocalyptic number.

136097640 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 136097640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257774400).

136097640 is an abundant number, since it is smaller than the sum of its proper divisors (379451160).

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

136097640 is a wasteful number, since it uses less digits than its factorization.

136097640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 136097640 is about 11666.0893190478. The cubic root of 136097640 is about 514.3793572867.

The spelling of 136097640 in words is "one hundred thirty-six million, ninety-seven thousand, six hundred forty".