136436832 has 192 divisors, whose sum is σ = 481904640. Its totient is φ = 36661248.

The previous prime is 136436831. The next prime is 136436863. The reversal of 136436832 is 238634631.

136436832 is a `hidden beast` number, since 1 + 3 + 643 + 6 + 8 + 3 + 2 = 666.

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 (136436831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102153 + ... + 103479.

It is an arithmetic number, because the mean of its divisors is an integer number (2509920).

Almost surely, 2^136436832 is an apocalyptic number.

136436832 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 136436832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240952320).

136436832 is an abundant number, since it is smaller than the sum of its proper divisors (345467808).

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

136436832 is a wasteful number, since it uses less digits than its factorization.

136436832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1356 counting only the distinct ones).

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

The square root of 136436832 is about 11680.6177918807. The cubic root of 136436832 is about 514.8063267733.

The spelling of 136436832 in words is "one hundred thirty-six million, four hundred thirty-six thousand, eight hundred thirty-two".