136235409408 has 224 divisors, whose sum is σ = 461303339520. Its totient is φ = 38923960320.

The previous prime is 136235409391. The next prime is 136235409461. The reversal of 136235409408 is 804904532631.

136235409408 is a `hidden beast` number, since 1 + 3 + 6 + 235 + 4 + 0 + 9 + 408 = 666.

136235409408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1504293 + ... + 1592283.

Almost surely, 2^136235409408 is an apocalyptic number.

136235409408 is a gapful number since it is divisible by the number (18) 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 136235409408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230651669760).

136235409408 is an abundant number, since it is smaller than the sum of its proper divisors (325067930112).

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

136235409408 is an frugal number, since it uses more digits than its factorization.

136235409408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88033 (or 88003 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 136235409408 in words is "one hundred thirty-six billion, two hundred thirty-five million, four hundred nine thousand, four hundred eight".