136633728 has 128 divisors (see below), whose sum is σ = 452586240. Its totient is φ = 35481600.

The previous prime is 136633691. The next prime is 136633729. The reversal of 136633728 is 827336631.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×136633728³ (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136633729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27258 + ... + 31878.

It is an arithmetic number, because the mean of its divisors is an integer number (3535830).

Almost surely, 2^136633728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136633728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226293120).

136633728 is an abundant number, since it is smaller than the sum of its proper divisors (315952512).

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

136633728 is a wasteful number, since it uses less digits than its factorization.

136633728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4656 (or 4644 counting only the distinct ones).

The product of its digits is 108864, while the sum is 39.

The square root of 136633728 is about 11689.0430746062. The cubic root of 136633728 is about 515.0538517854.

It can be divided in two parts, 13663 and 3728, that added together give a triangular number (17391 = T₁₈₆).

The spelling of 136633728 in words is "one hundred thirty-six million, six hundred thirty-three thousand, seven hundred twenty-eight".