137107128 has 32 divisors (see below), whose sum is σ = 354589200. Its totient is φ = 44126208.

The previous prime is 137107127. The next prime is 137107133. The reversal of 137107128 is 821701731.

It is a junction number, because it is equal to n+sod(n) for n = 137107095 and 137107104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137107123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97801 + ... + 99192.

Almost surely, 2^137107128 is an apocalyptic number.

It is an amenable number.

137107128 is an abundant number, since it is smaller than the sum of its proper divisors (217482072).

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

137107128 is a wasteful number, since it uses less digits than its factorization.

137107128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197031 (or 197027 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 30.

The square root of 137107128 is about 11709.2752978141. The cubic root of 137107128 is about 515.6480082442.

Adding to 137107128 its reverse (821701731), we get a palindrome (958808859).

The spelling of 137107128 in words is "one hundred thirty-seven million, one hundred seven thousand, one hundred twenty-eight".