138713400 has 288 divisors, whose sum is σ = 542599200. Its totient is φ = 31104000.

The previous prime is 138713389. The next prime is 138713401. The reversal of 138713400 is 4317831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138713401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1272546 + ... + 1272654.

It is an arithmetic number, because the mean of its divisors is an integer number (1884025).

Almost surely, 2^138713400 is an apocalyptic number.

138713400 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 138713400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271299600).

138713400 is an abundant number, since it is smaller than the sum of its proper divisors (403885800).

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

138713400 is a wasteful number, since it uses less digits than its factorization.

138713400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 138713400 is about 11777.6653034462. The cubic root of 138713400 is about 517.6538784853.

It can be divided in two parts, 13871 and 3400, that added together give a palindrome (17271).

The spelling of 138713400 in words is "one hundred thirty-eight million, seven hundred thirteen thousand, four hundred".