137382128 has 90 divisors (see below), whose sum is σ = 307295064. Its totient is φ = 59359872.

The previous prime is 137382127. The next prime is 137382137. The reversal of 137382128 is 821283731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137382127) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2923001 + ... + 2923047.

Almost surely, 2^137382128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137382128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153647532).

137382128 is an abundant number, since it is smaller than the sum of its proper divisors (169912936).

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

137382128 is a wasteful number, since it uses less digits than its factorization.

137382128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 85 counting only the distinct ones).

The product of its digits is 16128, while the sum is 35.

The square root of 137382128 is about 11721.0122429763. The cubic root of 137382128 is about 515.9925283857.

The spelling of 137382128 in words is "one hundred thirty-seven million, three hundred eighty-two thousand, one hundred twenty-eight".