138314000 has 80 divisors (see below), whose sum is σ = 364905216. Its totient is φ = 50288000.

The previous prime is 138313993. The next prime is 138314009. The reversal of 138314000 is 413831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (138314009) 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, 18857 + ... + 25143.

Almost surely, 2^138314000 is an apocalyptic number.

138314000 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 138314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182452608).

138314000 is an abundant number, since it is smaller than the sum of its proper divisors (226591216).

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

138314000 is a wasteful number, since it uses less digits than its factorization.

138314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6321 (or 6305 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 138314000 is about 11760.6972582411. The cubic root of 138314000 is about 517.1565708207.

Adding to 138314000 its reverse (413831), we get a palindrome (138727831).

The spelling of 138314000 in words is "one hundred thirty-eight million, three hundred fourteen thousand".