136009728 has 144 divisors (see below), whose sum is σ = 403734240. Its totient is φ = 44089344.

The previous prime is 136009717. The next prime is 136009729. The reversal of 136009728 is 827900631.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×136009728² = 36997292221267968, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 136009692 and 136009701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136009729) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 866226 + ... + 866382.

It is an arithmetic number, because the mean of its divisors is an integer number (2803710).

Almost surely, 2^136009728 is an apocalyptic number.

136009728 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 136009728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201867120).

136009728 is an abundant number, since it is smaller than the sum of its proper divisors (267724512).

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

136009728 is a wasteful number, since it uses less digits than its factorization.

136009728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 136009728 is about 11662.3208667915. The cubic root of 136009728 is about 514.2685793233.

The spelling of 136009728 in words is "one hundred thirty-six million, nine thousand, seven hundred twenty-eight".