138691100 has 54 divisors (see below), whose sum is σ = 319771200. Its totient is φ = 52202240.

The previous prime is 138691093. The next prime is 138691129. The reversal of 138691100 is 1196831.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26501 + ... + 31299.

Almost surely, 2^138691100 is an apocalyptic number.

138691100 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 138691100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159885600).

138691100 is an abundant number, since it is smaller than the sum of its proper divisors (181080100).

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

138691100 is a wasteful number, since it uses less digits than its factorization.

138691100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4847 (or 4823 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

The square root of 138691100 is about 11776.7185582402. The cubic root of 138691100 is about 517.6261371132.

The spelling of 138691100 in words is "one hundred thirty-eight million, six hundred ninety-one thousand, one hundred".