136686432 has 96 divisors (see below), whose sum is σ = 370137600. Its totient is φ = 44149248.

The previous prime is 136686427. The next prime is 136686439. The reversal of 136686432 is 234686631.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136686439) by changing a digit.

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, 507994 + ... + 508262.

It is an arithmetic number, because the mean of its divisors is an integer number (3855600).

Almost surely, 2^136686432 is an apocalyptic number.

136686432 is a gapful number since it is divisible by the number (12) 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 136686432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185068800).

136686432 is an abundant number, since it is smaller than the sum of its proper divisors (233451168).

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

136686432 is a wasteful number, since it uses less digits than its factorization.

136686432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 420 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 136686432 is about 11691.2972761794. The cubic root of 136686432 is about 515.1200675216.

It can be divided in two parts, 13668 and 6432, that added together give a triangular number (20100 = T₂₀₀).

The spelling of 136686432 in words is "one hundred thirty-six million, six hundred eighty-six thousand, four hundred thirty-two".