137867503128 has 128 divisors (see below), whose sum is σ = 360498124800. Its totient is φ = 43882675200.

The previous prime is 137867503117. The next prime is 137867503133. The reversal of 137867503128 is 821305768731.

137867503128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 28535673 + ... + 28540503.

It is an arithmetic number, because the mean of its divisors is an integer number (2816391600).

Almost surely, 2^137867503128 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 137867503128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180249062400).

137867503128 is an abundant number, since it is smaller than the sum of its proper divisors (222630621672).

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

137867503128 is a wasteful number, since it uses less digits than its factorization.

137867503128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5313 (or 5309 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 137867503128 in words is "one hundred thirty-seven billion, eight hundred sixty-seven million, five hundred three thousand, one hundred twenty-eight".