136365840 has 240 divisors, whose sum is σ = 522810288. Its totient is φ = 31555584.

The previous prime is 136365839. The next prime is 136365841. The reversal of 136365840 is 48563631.

136365840 is a `hidden beast` number, since 13 + 63 + 6 + 584 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (136365839) and next prime (136365841).

It can be written as a sum of positive squares in 8 ways, for example, as 2547216 + 133818624 = 1596^2 + 11568^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 = 136365795 and 136365804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136365841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158692 + ... + 159548.

Almost surely, 2^136365840 is an apocalyptic number.

136365840 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 136365840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261405144).

136365840 is an abundant number, since it is smaller than the sum of its proper divisors (386444448).

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

136365840 is a wasteful number, since it uses less digits than its factorization.

136365840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 136365840 is about 11677.5785161137. The cubic root of 136365840 is about 514.7170217792.

The spelling of 136365840 in words is "one hundred thirty-six million, three hundred sixty-five thousand, eight hundred forty".