138309600 has 432 divisors, whose sum is σ = 548964864. Its totient is φ = 29952000.

The previous prime is 138309581. The next prime is 138309707. The reversal of 138309600 is 6903831.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 4461585 + ... + 4461615.

It is an arithmetic number, because the mean of its divisors is an integer number (1270752).

Almost surely, 2^138309600 is an apocalyptic number.

138309600 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 138309600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274482432).

138309600 is an abundant number, since it is smaller than the sum of its proper divisors (410655264).

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

138309600 is a wasteful number, since it uses less digits than its factorization.

138309600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 138309600 is about 11760.5101930146. The cubic root of 138309600 is about 517.1510868903.

The spelling of 138309600 in words is "one hundred thirty-eight million, three hundred nine thousand, six hundred".