138606300 has 216 divisors, whose sum is σ = 507780000. Its totient is φ = 31610880.

The previous prime is 138606277. The next prime is 138606359. The reversal of 138606300 is 3606831.

138606300 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 71 ways as a sum of consecutive naturals, for example, 308476 + ... + 308924.

Almost surely, 2^138606300 is an apocalyptic number.

138606300 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 138606300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253890000).

138606300 is an abundant number, since it is smaller than the sum of its proper divisors (369173700).

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

138606300 is a wasteful number, since it uses less digits than its factorization.

138606300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 138606300 is about 11773.1176839442. The cubic root of 138606300 is about 517.5206180961.

The spelling of 138606300 in words is "one hundred thirty-eight million, six hundred six thousand, three hundred".