137045310 has 32 divisors (see below), whose sum is σ = 329304960. Its totient is φ = 36501408.

The previous prime is 137045291. The next prime is 137045317. The reversal of 137045310 is 13540731.

It is a super-2 number, since 2×137045310² = 37562833985992200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137045317) 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 15 ways as a sum of consecutive naturals, for example, 28329 + ... + 32811.

It is an arithmetic number, because the mean of its divisors is an integer number (10290780).

Almost surely, 2^137045310 is an apocalyptic number.

137045310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137045310 is an abundant number, since it is smaller than the sum of its proper divisors (192259650).

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

137045310 is a wasteful number, since it uses less digits than its factorization.

137045310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5512.

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 137045310 is about 11706.6352979838. The cubic root of 137045310 is about 515.5704992166.

The spelling of 137045310 in words is "one hundred thirty-seven million, forty-five thousand, three hundred ten".