136386432 has 192 divisors, whose sum is σ = 483406560. Its totient is φ = 35942400.

The previous prime is 136386431. The next prime is 136386451. The reversal of 136386432 is 234683631.

136386432 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 8 + 643 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (136386431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104182 + ... + 105482.

Almost surely, 2^136386432 is an apocalyptic number.

136386432 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 136386432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241703280).

136386432 is an abundant number, since it is smaller than the sum of its proper divisors (347020128).

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

136386432 is a wasteful number, since it uses less digits than its factorization.

136386432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1326 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 136386432 is about 11678.4601724714. The cubic root of 136386432 is about 514.7429288526.

The spelling of 136386432 in words is "one hundred thirty-six million, three hundred eighty-six thousand, four hundred thirty-two".