137973696 has 112 divisors (see below), whose sum is σ = 419892480. Its totient is φ = 39168000.

The previous prime is 137973691. The next prime is 137973697. The reversal of 137973696 is 696379731.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137973691) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 337140 + ... + 337548.

It is an arithmetic number, because the mean of its divisors is an integer number (3749040).

Almost surely, 2^137973696 is an apocalyptic number.

137973696 is a gapful number since it is divisible by the number (16) 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 137973696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209946240).

137973696 is an abundant number, since it is smaller than the sum of its proper divisors (281918784).

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

137973696 is a wasteful number, since it uses less digits than its factorization.

137973696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 672 counting only the distinct ones).

The product of its digits is 1285956, while the sum is 51.

The square root of 137973696 is about 11746.2204985263. The cubic root of 137973696 is about 516.7320898539.

The spelling of 137973696 in words is "one hundred thirty-seven million, nine hundred seventy-three thousand, six hundred ninety-six".