136564040 has 64 divisors (see below), whose sum is σ = 321712560. Its totient is φ = 52116480.

The previous prime is 136564031. The next prime is 136564063. The reversal of 136564040 is 40465631.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 54081316 + 82482724 = 7354^2 + 9082^2 .

It is a super-2 number, since 2×136564040² = 37299474042243200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 136563994 and 136564012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77570 + ... + 79310.

Almost surely, 2^136564040 is an apocalyptic number.

136564040 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 136564040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160856280).

136564040 is an abundant number, since it is smaller than the sum of its proper divisors (185148520).

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

136564040 is a wasteful number, since it uses less digits than its factorization.

136564040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842 (or 1838 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 136564040 is about 11686.0617831672. The cubic root of 136564040 is about 514.9662717095.

The spelling of 136564040 in words is "one hundred thirty-six million, five hundred sixty-four thousand, forty".