138695800 has 48 divisors (see below), whose sum is σ = 323416800. Its totient is φ = 55315200.

The previous prime is 138695789. The next prime is 138695807. The reversal of 138695800 is 8596831.

It is a happy number.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138695807) 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, 85396 + ... + 87004.

It is an arithmetic number, because the mean of its divisors is an integer number (6737850).

Almost surely, 2^138695800 is an apocalyptic number.

138695800 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 138695800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161708400).

138695800 is an abundant number, since it is smaller than the sum of its proper divisors (184721000).

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

138695800 is a wasteful number, since it uses less digits than its factorization.

138695800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2056 (or 2047 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 138695800 is about 11776.9181027975. The cubic root of 138695800 is about 517.6319841968.

The spelling of 138695800 in words is "one hundred thirty-eight million, six hundred ninety-five thousand, eight hundred".