137683728 has 360 divisors, whose sum is σ = 514550400. Its totient is φ = 33965568.

The previous prime is 137683723. The next prime is 137683783. The reversal of 137683728 is 827386731.

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

It is not an unprimeable number, because it can be changed into a prime (137683723) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1742793 + ... + 1742871.

Almost surely, 2^137683728 is an apocalyptic number.

137683728 is a gapful number since it is divisible by the number (18) 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 137683728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257275200).

137683728 is an abundant number, since it is smaller than the sum of its proper divisors (376866672).

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

137683728 is a wasteful number, since it uses less digits than its factorization.

137683728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 123 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 137683728 is about 11733.8709725308. The cubic root of 137683728 is about 516.3698448184.

It can be divided in two parts, 137 and 683728, that added together give a triangular number (683865 = T₁₁₆₉).

The spelling of 137683728 in words is "one hundred thirty-seven million, six hundred eighty-three thousand, seven hundred twenty-eight".