138692236680 has 288 divisors, whose sum is σ = 478257703560. Its totient is φ = 34835189760.

The previous prime is 138692236633. The next prime is 138692236693. The reversal of 138692236680 is 86632296831.

It can be written as a sum of positive squares in 12 ways, for example, as 321628356 + 138370608324 = 17934^2 + 371982^2 .

It is a super-2 number, since 2×138692236680² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12407574 + ... + 12418746.

Almost surely, 2^138692236680 is an apocalyptic number.

138692236680 is a gapful number since it is divisible by the number (10) 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 138692236680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239128851780).

138692236680 is an abundant number, since it is smaller than the sum of its proper divisors (339565466880).

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

138692236680 is a wasteful number, since it uses less digits than its factorization.

138692236680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11289 (or 11253 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 138692236680 in words is "one hundred thirty-eight billion, six hundred ninety-two million, two hundred thirty-six thousand, six hundred eighty".