138313000 has 64 divisors (see below), whose sum is σ = 369907200. Its totient is φ = 47419200.

The previous prime is 138312973. The next prime is 138313009. The reversal of 138313000 is 313831.

138313000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (138313009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2880 + ... + 16879.

It is an arithmetic number, because the mean of its divisors is an integer number (5779800).

Almost surely, 2^138313000 is an apocalyptic number.

138313000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138313000 is an abundant number, since it is smaller than the sum of its proper divisors (231594200).

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

138313000 is a wasteful number, since it uses less digits than its factorization.

138313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19787 (or 19773 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 138313000 is about 11760.6547436782. The cubic root of 138313000 is about 517.1553244831.

Adding to 138313000 its reverse (313831), we get a palindrome (138626831).

The spelling of 138313000 in words is "one hundred thirty-eight million, three hundred thirteen thousand".