136217520 has 120 divisors (see below), whose sum is σ = 459787536. Its totient is φ = 36140544.

The previous prime is 136217513. The next prime is 136217537. The reversal of 136217520 is 25712631.

It is a happy number.

136217520 is a `hidden beast` number, since 13 + 621 + 7 + 5 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199099 + ... + 199781.

Almost surely, 2^136217520 is an apocalyptic number.

136217520 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 136217520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229893768).

136217520 is an abundant number, since it is smaller than the sum of its proper divisors (323570016).

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

136217520 is a wasteful number, since it uses less digits than its factorization.

136217520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 136217520 is about 11671.2261566641. The cubic root of 136217520 is about 514.5303412933.

The spelling of 136217520 in words is "one hundred thirty-six million, two hundred seventeen thousand, five hundred twenty".