138533800 has 48 divisors (see below), whose sum is σ = 323266140. Its totient is φ = 55211520.

The previous prime is 138533771. The next prime is 138533803. The reversal of 138533800 is 8335831.

138533800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 49533444 + 89000356 = 7038^2 + 9434^2 .

It is a super-2 number, since 2×138533800² = 38383227484880000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (138533803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61494 + ... + 63706.

Almost surely, 2^138533800 is an apocalyptic number.

138533800 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 138533800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161633070).

138533800 is an abundant number, since it is smaller than the sum of its proper divisors (184732340).

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

138533800 is a wasteful number, since it uses less digits than its factorization.

138533800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2542 (or 2533 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 138533800 is about 11770.0382327331. The cubic root of 138533800 is about 517.4303701816.

The spelling of 138533800 in words is "one hundred thirty-eight million, five hundred thirty-three thousand, eight hundred".