137813429888 has 128 divisors (see below), whose sum is σ = 297872346240. Its totient is φ = 63339724800.

The previous prime is 137813429881. The next prime is 137813430143. The reversal of 137813429888 is 888924318731.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 137813429888.

It is not an unprimeable number, because it can be changed into a prime (137813429881) 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 15 ways as a sum of consecutive naturals, for example, 8078648 + ... + 8095688.

It is an arithmetic number, because the mean of its divisors is an integer number (2327127705).

Almost surely, 2^137813429888 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 137813429888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148936173120).

137813429888 is an abundant number, since it is smaller than the sum of its proper divisors (160058916352).

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

137813429888 is a wasteful number, since it uses less digits than its factorization.

137813429888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17186 (or 17174 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 62.

The spelling of 137813429888 in words is "one hundred thirty-seven billion, eight hundred thirteen million, four hundred twenty-nine thousand, eight hundred eighty-eight".