138346747136 has 144 divisors (see below), whose sum is σ = 313609611840. Its totient is φ = 60383232000.

The previous prime is 138346747111. The next prime is 138346747219. The reversal of 138346747136 is 631747643831.

It is a super-2 number, since 2×138346747136² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42553511 + ... + 42556761.

Almost surely, 2^138346747136 is an apocalyptic number.

138346747136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138346747136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156804805920).

138346747136 is an abundant number, since it is smaller than the sum of its proper divisors (175262864704).

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

138346747136 is a wasteful number, since it uses less digits than its factorization.

138346747136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3972 (or 3958 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 53.

The spelling of 138346747136 in words is "one hundred thirty-eight billion, three hundred forty-six million, seven hundred forty-seven thousand, one hundred thirty-six".