136400436 has 60 divisors (see below), whose sum is σ = 358555428. Its totient is φ = 45214848.

The previous prime is 136400431. The next prime is 136400447. The reversal of 136400436 is 634004631.

136400436 is a `hidden beast` number, since 13 + 640 + 0 + 4 + 3 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 73102500 + 63297936 = 8550^2 + 7956^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136400431) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 62760 + ... + 64896.

Almost surely, 2^136400436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136400436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179277714).

136400436 is an abundant number, since it is smaller than the sum of its proper divisors (222154992).

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

136400436 is a wasteful number, since it uses less digits than its factorization.

136400436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2350 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 136400436 is about 11679.0597224263. The cubic root of 136400436 is about 514.7605459844.

The spelling of 136400436 in words is "one hundred thirty-six million, four hundred thousand, four hundred thirty-six".