137121336 has 80 divisors (see below), whose sum is σ = 419003640. Its totient is φ = 41549760.

The previous prime is 137121323. The next prime is 137121353. The reversal of 137121336 is 633121731.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 2491 + ... + 16746.

Almost surely, 2^137121336 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 137121336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209501820).

137121336 is an abundant number, since it is smaller than the sum of its proper divisors (281882304).

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

137121336 is a wasteful number, since it uses less digits than its factorization.

137121336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19266 (or 19253 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 137121336 is about 11709.8819806179. The cubic root of 137121336 is about 515.6658193139.

The spelling of 137121336 in words is "one hundred thirty-seven million, one hundred twenty-one thousand, three hundred thirty-six".