137486128 has 60 divisors (see below), whose sum is σ = 302928528. Its totient is φ = 60082560.

The previous prime is 137486113. The next prime is 137486137. The reversal of 137486128 is 821684731.

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 11 ways as a sum of consecutive naturals, for example, 74173 + ... + 76003.

Almost surely, 2^137486128 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 137486128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151464264).

137486128 is an abundant number, since it is smaller than the sum of its proper divisors (165442400).

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

137486128 is a wasteful number, since it uses less digits than its factorization.

137486128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890 (or 1865 counting only the distinct ones).

The product of its digits is 64512, while the sum is 40.

The square root of 137486128 is about 11725.4478805716. The cubic root of 137486128 is about 516.1226998235.

The spelling of 137486128 in words is "one hundred thirty-seven million, four hundred eighty-six thousand, one hundred twenty-eight".