137839495288 has 64 divisors (see below), whose sum is σ = 287660419200. Its totient is φ = 61391041920.

The previous prime is 137839495273. The next prime is 137839495291. The reversal of 137839495288 is 882594938731.

137839495288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×137839495288² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1550706 + ... + 1637182.

It is an arithmetic number, because the mean of its divisors is an integer number (4494694050).

Almost surely, 2^137839495288 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 137839495288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143830209600).

137839495288 is an abundant number, since it is smaller than the sum of its proper divisors (149820923912).

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

137839495288 is a wasteful number, since it uses less digits than its factorization.

137839495288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86860 (or 86856 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 67.

The spelling of 137839495288 in words is "one hundred thirty-seven billion, eight hundred thirty-nine million, four hundred ninety-five thousand, two hundred eighty-eight".