138338100 has 216 divisors, whose sum is σ = 466345152. Its totient is φ = 34214400.

The previous prime is 138338099. The next prime is 138338111. The reversal of 138338100 is 1833831.

It is a super-2 number, since 2×138338100² = 38274859823220000, which 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 71 ways as a sum of consecutive naturals, for example, 848619 + ... + 848781.

Almost surely, 2^138338100 is an apocalyptic number.

138338100 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 138338100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233172576).

138338100 is an abundant number, since it is smaller than the sum of its proper divisors (328007052).

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

138338100 is a wasteful number, since it uses less digits than its factorization.

138338100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 138338100 is about 11761.7218127279. The cubic root of 138338100 is about 517.1866057402.

The spelling of 138338100 in words is "one hundred thirty-eight million, three hundred thirty-eight thousand, one hundred".