136873968 has 160 divisors (see below), whose sum is σ = 456399360. Its totient is φ = 34298880.

The previous prime is 136873951. The next prime is 136873993. The reversal of 136873968 is 869378631.

136873968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 136873968.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 106546 + ... + 107822.

It is an arithmetic number, because the mean of its divisors is an integer number (2852496).

Almost surely, 2^136873968 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 136873968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228199680).

136873968 is an abundant number, since it is smaller than the sum of its proper divisors (319525392).

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

136873968 is a wasteful number, since it uses less digits than its factorization.

136873968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1329 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The square root of 136873968 is about 11699.3148517338. The cubic root of 136873968 is about 515.3555442222.

The spelling of 136873968 in words is "one hundred thirty-six million, eight hundred seventy-three thousand, nine hundred sixty-eight".