137860128 has 108 divisors (see below), whose sum is σ = 456092910. Its totient is φ = 39384576.

The previous prime is 137860127. The next prime is 137860133. The reversal of 137860128 is 821068731.

It can be written as a sum of positive squares in only one way, i.e., 124813584 + 13046544 = 11172^2 + 3612^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 137860092 and 137860101.

It is not an unprimeable number, because it can be changed into a prime (137860127) 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, 9228 + ... + 18996.

Almost surely, 2^137860128 is an apocalyptic number.

137860128 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 137860128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228046455).

137860128 is an abundant number, since it is smaller than the sum of its proper divisors (318232782).

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

137860128 is a wasteful number, since it uses less digits than its factorization.

137860128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9799 (or 9781 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 137860128 is about 11741.3852675057. The cubic root of 137860128 is about 516.5902745652.

The spelling of 137860128 in words is "one hundred thirty-seven million, eight hundred sixty thousand, one hundred twenty-eight".