33989138136 has 128 divisors (see below), whose sum is σ = 96135768000. Its totient is φ = 11124532224.

The previous prime is 33989138107. The next prime is 33989138137. The reversal of 33989138136 is 63183198933.

33989138136 is a `hidden beast` number, since 3 + 398 + 91 + 38 + 136 = 666.

It is a super-2 number, since 2×33989138136² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 (33989138137) 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, 3606166 + ... + 3615578.

Almost surely, 2^33989138136 is an apocalyptic number.

33989138136 is a gapful number since it is divisible by the number (36) 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 33989138136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48067884000).

33989138136 is an abundant number, since it is smaller than the sum of its proper divisors (62146629864).

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

33989138136 is a wasteful number, since it uses less digits than its factorization.

33989138136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9730 (or 9720 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The spelling of 33989138136 in words is "thirty-three billion, nine hundred eighty-nine million, one hundred thirty-eight thousand, one hundred thirty-six".