138034300 has 72 divisors (see below), whose sum is σ = 313479936. Its totient is φ = 52704960.

The previous prime is 138034241. The next prime is 138034327. The reversal of 138034300 is 3430831.

138034300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201759 + ... + 202441.

It is an arithmetic number, because the mean of its divisors is an integer number (4353888).

Almost surely, 2^138034300 is an apocalyptic number.

138034300 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 138034300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156739968).

138034300 is an abundant number, since it is smaller than the sum of its proper divisors (175445636).

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

138034300 is a wasteful number, since it uses less digits than its factorization.

138034300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 138034300 is about 11748.7999387171. The cubic root of 138034300 is about 516.8077357886.

The spelling of 138034300 in words is "one hundred thirty-eight million, thirty-four thousand, three hundred".