137947128 has 64 divisors (see below), whose sum is σ = 383356800. Its totient is φ = 41009280.

The previous prime is 137947109. The next prime is 137947189. The reversal of 137947128 is 821749731.

It is a self number, because there is not a number n which added to its sum of digits gives 137947128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9063 + ... + 18921.

It is an arithmetic number, because the mean of its divisors is an integer number (5989950).

Almost surely, 2^137947128 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 137947128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191678400).

137947128 is an abundant number, since it is smaller than the sum of its proper divisors (245409672).

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

137947128 is a wasteful number, since it uses less digits than its factorization.

137947128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9932 (or 9928 counting only the distinct ones).

The product of its digits is 84672, while the sum is 42.

The square root of 137947128 is about 11745.0895271173. The cubic root of 137947128 is about 516.6989206827.

It can be divided in two parts, 137947 and 128, that added together give a triangular number (138075 = T₅₂₅).

The spelling of 137947128 in words is "one hundred thirty-seven million, nine hundred forty-seven thousand, one hundred twenty-eight".