137089836 has 72 divisors (see below), whose sum is σ = 395164224. Its totient is φ = 39697920.

The previous prime is 137089831. The next prime is 137089861. The reversal of 137089836 is 638980731.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 137089791 and 137089800.

It is not an unprimeable number, because it can be changed into a prime (137089831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 660 + ... + 16571.

It is an arithmetic number, because the mean of its divisors is an integer number (5488392).

Almost surely, 2^137089836 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 137089836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197582112).

137089836 is an abundant number, since it is smaller than the sum of its proper divisors (258074388).

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

137089836 is a wasteful number, since it uses less digits than its factorization.

137089836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17271 (or 17266 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 137089836 is about 11708.5368855378. The cubic root of 137089836 is about 515.6263294291.

The spelling of 137089836 in words is "one hundred thirty-seven million, eighty-nine thousand, eight hundred thirty-six".