137493216 has 108 divisors (see below), whose sum is σ = 454879152. Its totient is φ = 39279744.

The previous prime is 137493197. The next prime is 137493233. The reversal of 137493216 is 612394731.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 9241 + ... + 18983.

It is an arithmetic number, because the mean of its divisors is an integer number (4211844).

Almost surely, 2^137493216 is an apocalyptic number.

137493216 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 137493216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227439576).

137493216 is an abundant number, since it is smaller than the sum of its proper divisors (317385936).

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

137493216 is a wasteful number, since it uses less digits than its factorization.

137493216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9773 (or 9755 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 137493216 is about 11725.7501252585. The cubic root of 137493216 is about 516.1315691179.

The spelling of 137493216 in words is "one hundred thirty-seven million, four hundred ninety-three thousand, two hundred sixteen".