137226336 has 96 divisors (see below), whose sum is σ = 400555008. Its totient is φ = 40849920.

The previous prime is 137226319. The next prime is 137226359. The reversal of 137226336 is 633622731.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 137226297 and 137226306.

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 15 ways as a sum of consecutive naturals, for example, 36915 + ... + 40461.

It is an arithmetic number, because the mean of its divisors is an integer number (4172448).

Almost surely, 2^137226336 is an apocalyptic number.

137226336 is a gapful number since it is divisible by the number (16) 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 137226336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200277504).

137226336 is an abundant number, since it is smaller than the sum of its proper divisors (263328672).

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

137226336 is a wasteful number, since it uses less digits than its factorization.

137226336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3604 (or 3596 counting only the distinct ones).

The product of its digits is 27216, while the sum is 33.

The square root of 137226336 is about 11714.3645154144. The cubic root of 137226336 is about 515.7974086009.

The spelling of 137226336 in words is "one hundred thirty-seven million, two hundred twenty-six thousand, three hundred thirty-six".