136424736 has 240 divisors, whose sum is σ = 469332864. Its totient is φ = 38071296.

The previous prime is 136424723. The next prime is 136424759. The reversal of 136424736 is 637424631.

It is a happy number.

136424736 is a `hidden beast` number, since 1 + 3 + 642 + 4 + 7 + 3 + 6 = 666.

It is a super-2 number, since 2×136424736² = 37223417185339392, which contains 22 as substring.

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 self number, because there is not a number n which added to its sum of digits gives 136424736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1324461 + ... + 1324563.

Almost surely, 2^136424736 is an apocalyptic number.

136424736 is a gapful number since it is divisible by the number (16) 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 136424736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234666432).

136424736 is an abundant number, since it is smaller than the sum of its proper divisors (332908128).

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

136424736 is a wasteful number, since it uses less digits than its factorization.

136424736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 188 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 136424736 is about 11680.0999995719. The cubic root of 136424736 is about 514.7911126964.

The spelling of 136424736 in words is "one hundred thirty-six million, four hundred twenty-four thousand, seven hundred thirty-six".