137910312 has 72 divisors (see below), whose sum is σ = 387895950. Its totient is φ = 44212224.

The previous prime is 137910299. The next prime is 137910313. The reversal of 137910312 is 213019731.

It can be written as a sum of positive squares in 3 ways, for example, as 127373796 + 10536516 = 11286^2 + 3246^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (137910313) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 536488 + ... + 536744.

Almost surely, 2^137910312 is an apocalyptic number.

137910312 is a gapful number since it is divisible by the number (12) 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 137910312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193947975).

137910312 is an abundant number, since it is smaller than the sum of its proper divisors (249985638).

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

137910312 is a wasteful number, since it uses less digits than its factorization.

137910312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 137910312 is about 11743.5221292421. The cubic root of 137910312 is about 516.6529502197.

The spelling of 137910312 in words is "one hundred thirty-seven million, nine hundred ten thousand, three hundred twelve".