137381328 has 120 divisors (see below), whose sum is σ = 445659968. Its totient is φ = 38693376.

The previous prime is 137381317. The next prime is 137381341. The reversal of 137381328 is 823183731.

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 junction number, because it is equal to n+sod(n) for n = 137381292 and 137381301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72651 + ... + 74517.

Almost surely, 2^137381328 is an apocalyptic number.

137381328 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 137381328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222829984).

137381328 is an abundant number, since it is smaller than the sum of its proper divisors (308278640).

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

137381328 is a wasteful number, since it uses less digits than its factorization.

137381328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961 (or 1952 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 137381328 is about 11720.9781161813. The cubic root of 137381328 is about 515.9915268124.

The spelling of 137381328 in words is "one hundred thirty-seven million, three hundred eighty-one thousand, three hundred twenty-eight".