138056100 has 216 divisors, whose sum is σ = 495593280. Its totient is φ = 29053440.

The previous prime is 138056069. The next prime is 138056111. The reversal of 138056100 is 1650831.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 354706 + ... + 355094.

Almost surely, 2^138056100 is an apocalyptic number.

138056100 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 138056100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247796640).

138056100 is an abundant number, since it is smaller than the sum of its proper divisors (357537180).

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

138056100 is a wasteful number, since it uses less digits than its factorization.

138056100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 138056100 is about 11749.7276564183. The cubic root of 138056100 is about 516.8349411416.

The spelling of 138056100 in words is "one hundred thirty-eight million, fifty-six thousand, one hundred".