137973312 has 84 divisors (see below), whose sum is σ = 408285696. Its totient is φ = 44501760.

The previous prime is 137973293. The next prime is 137973337. The reversal of 137973312 is 213379731.

137973312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13993 + ... + 21719.

It is an arithmetic number, because the mean of its divisors is an integer number (4860544).

Almost surely, 2^137973312 is an apocalyptic number.

137973312 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 137973312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204142848).

137973312 is an abundant number, since it is smaller than the sum of its proper divisors (270312384).

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

137973312 is a wasteful number, since it uses less digits than its factorization.

137973312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7776 (or 7763 counting only the distinct ones).

The product of its digits is 23814, while the sum is 36.

The square root of 137973312 is about 11746.2041528317. The cubic root of 137973312 is about 516.7316104744.

It can be divided in two parts, 1379 and 73312, that added together give a triangular number (74691 = T₃₈₆).

The spelling of 137973312 in words is "one hundred thirty-seven million, nine hundred seventy-three thousand, three hundred twelve".