138589721100 has 432 divisors, whose sum is σ = 467454143520. Its totient is φ = 34275225600.

The previous prime is 138589721099. The next prime is 138589721189. The reversal of 138589721100 is 1127985831.

138589721100 is a `hidden beast` number, since 1 + 38 + 589 + 7 + 21 + 10 + 0 = 666.

It is a super-2 number, since 2×138589721100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 71695734 + ... + 71697666.

Almost surely, 2^138589721100 is an apocalyptic number.

138589721100 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 138589721100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233727071760).

138589721100 is an abundant number, since it is smaller than the sum of its proper divisors (328864422420).

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

138589721100 is a wasteful number, since it uses less digits than its factorization.

138589721100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 138589721100 in words is "one hundred thirty-eight billion, five hundred eighty-nine million, seven hundred twenty-one thousand, one hundred".