137745312 has 24 divisors (see below), whose sum is σ = 361581696. Its totient is φ = 45915072.

The previous prime is 137745263. The next prime is 137745313. The reversal of 137745312 is 213547731.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (137745313) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 717328 + ... + 717519.

It is an arithmetic number, because the mean of its divisors is an integer number (15065904).

Almost surely, 2^137745312 is an apocalyptic number.

137745312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137745312 is an abundant number, since it is smaller than the sum of its proper divisors (223836384).

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

137745312 is a wasteful number, since it uses less digits than its factorization.

137745312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434860 (or 1434852 counting only the distinct ones).

The product of its digits is 17640, while the sum is 33.

The square root of 137745312 is about 11736.4948770917. The cubic root of 137745312 is about 516.4468216719.

The spelling of 137745312 in words is "one hundred thirty-seven million, seven hundred forty-five thousand, three hundred twelve".