138318000 has 80 divisors (see below), whose sum is σ = 445956576. Its totient is φ = 36883200.

The previous prime is 138317987. The next prime is 138318013. The reversal of 138318000 is 813831.

It is an interprime number because it is at equal distance from previous prime (138317987) and next prime (138318013).

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 (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5527 + ... + 17526.

Almost surely, 2^138318000 is an apocalyptic number.

138318000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138318000 is an abundant number, since it is smaller than the sum of its proper divisors (307638576).

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

138318000 is a wasteful number, since it uses less digits than its factorization.

138318000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23079 (or 23063 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 138318000 is about 11760.8673149560. The cubic root of 138318000 is about 517.1615561110.

The spelling of 138318000 in words is "one hundred thirty-eight million, three hundred eighteen thousand".