137351312 has 60 divisors (see below), whose sum is σ = 317190636. Its totient is φ = 57415680.

The previous prime is 137351311. The next prime is 137351317. The reversal of 137351312 is 213153731.

It can be written as a sum of positive squares in 2 ways, for example, as 19324816 + 118026496 = 4396^2 + 10864^2 .

It is not an unprimeable number, because it can be changed into a prime (137351311) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 30008 + ... + 34280.

Almost surely, 2^137351312 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 137351312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158595318).

137351312 is an abundant number, since it is smaller than the sum of its proper divisors (179839324).

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

137351312 is a wasteful number, since it uses less digits than its factorization.

137351312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4336 (or 4323 counting only the distinct ones).

The product of its digits is 1890, while the sum is 26.

The square root of 137351312 is about 11719.6976070204. The cubic root of 137351312 is about 515.9539449711.

The spelling of 137351312 in words is "one hundred thirty-seven million, three hundred fifty-one thousand, three hundred twelve".