138321830988 has 324 divisors, whose sum is σ = 401506664832. Its totient is φ = 40117968000.

The previous prime is 138321830963. The next prime is 138321831071. The reversal of 138321830988 is 889038123831.

138321830988 is a `hidden beast` number, since 1 + 3 + 8 + 321 + 8 + 309 + 8 + 8 = 666.

It is a super-2 number, since 2×138321830988² (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 107 ways as a sum of consecutive naturals, for example, 724197973 + ... + 724198163.

Almost surely, 2^138321830988 is an apocalyptic number.

138321830988 is a gapful number since it is divisible by the number (18) 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 138321830988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200753332416).

138321830988 is an abundant number, since it is smaller than the sum of its proper divisors (263184833844).

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

138321830988 is a wasteful number, since it uses less digits than its factorization.

138321830988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 138321830988 in words is "one hundred thirty-eight billion, three hundred twenty-one million, eight hundred thirty thousand, nine hundred eighty-eight".