136028880 has 120 divisors (see below), whose sum is σ = 492004968. Its totient is φ = 33481728.

The previous prime is 136028843. The next prime is 136028881. The reversal of 136028880 is 88820631.

It can be written as a sum of positive squares in 4 ways, for example, as 3594816 + 132434064 = 1896^2 + 11508^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136028881) by changing a digit.

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, 2094 + ... + 16626.

Almost surely, 2^136028880 is an apocalyptic number.

136028880 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 136028880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246002484).

136028880 is an abundant number, since it is smaller than the sum of its proper divisors (355976088).

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

136028880 is a wasteful number, since it uses less digits than its factorization.

136028880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14565 (or 14556 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 136028880 is about 11663.1419437474. The cubic root of 136028880 is about 514.2927168359.

The spelling of 136028880 in words is "one hundred thirty-six million, twenty-eight thousand, eight hundred eighty".