138133777734 has 64 divisors (see below), whose sum is σ = 317260800000. Its totient is φ = 44503767360.

The previous prime is 138133777687. The next prime is 138133777741. The reversal of 138133777734 is 437777331831.

It is a super-2 number, since 2×138133777734² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1303267 + ... + 1405265.

It is an arithmetic number, because the mean of its divisors is an integer number (4957200000).

Almost surely, 2^138133777734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138133777734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158630400000).

138133777734 is an abundant number, since it is smaller than the sum of its proper divisors (179127022266).

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

138133777734 is a wasteful number, since it uses less digits than its factorization.

138133777734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102850 (or 102844 counting only the distinct ones).

The product of its digits is 6223392, while the sum is 54.

The spelling of 138133777734 in words is "one hundred thirty-eight billion, one hundred thirty-three million, seven hundred seventy-seven thousand, seven hundred thirty-four".