138150600 has 288 divisors, whose sum is σ = 515681280. Its totient is φ = 30481920.

The previous prime is 138150557. The next prime is 138150631. The reversal of 138150600 is 6051831.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1087737 + ... + 1087863.

It is an arithmetic number, because the mean of its divisors is an integer number (1790560).

Almost surely, 2^138150600 is an apocalyptic number.

138150600 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 138150600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257840640).

138150600 is an abundant number, since it is smaller than the sum of its proper divisors (377530680).

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

138150600 is a wasteful number, since it uses less digits than its factorization.

138150600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 138150600 is about 11753.7483382962. The cubic root of 138150600 is about 516.9528394990.

The spelling of 138150600 in words is "one hundred thirty-eight million, one hundred fifty thousand, six hundred".