136153680 has 240 divisors, whose sum is σ = 486052224. Its totient is φ = 31334400.

The previous prime is 136153679. The next prime is 136153723. The reversal of 136153680 is 86351631.

136153680 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 (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 901605 + ... + 901755.

Almost surely, 2^136153680 is an apocalyptic number.

136153680 is a gapful number since it is divisible by the number (10) 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 136153680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243026112).

136153680 is an abundant number, since it is smaller than the sum of its proper divisors (349898544).

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

136153680 is a wasteful number, since it uses less digits than its factorization.

136153680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 136153680 is about 11668.4909049971. The cubic root of 136153680 is about 514.4499484290.

The spelling of 136153680 in words is "one hundred thirty-six million, one hundred fifty-three thousand, six hundred eighty".