136561920 has 288 divisors, whose sum is σ = 492718464. Its totient is φ = 31948800.

The previous prime is 136561891. The next prime is 136561921. The reversal of 136561920 is 29165631.

It is a happy number.

136561920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136561921) 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, 2238690 + ... + 2238750.

It is an arithmetic number, because the mean of its divisors is an integer number (1710828).

Almost surely, 2^136561920 is an apocalyptic number.

136561920 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 136561920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246359232).

136561920 is an abundant number, since it is smaller than the sum of its proper divisors (356156544).

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

136561920 is a wasteful number, since it uses less digits than its factorization.

136561920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 136561920 is about 11685.9710764660. The cubic root of 136561920 is about 514.9636069422.

It can be divided in two parts, 13656 and 1920, that added together give a triangular number (15576 = T₁₇₆).

The spelling of 136561920 in words is "one hundred thirty-six million, five hundred sixty-one thousand, nine hundred twenty".