138618000 has 320 divisors, whose sum is σ = 529251840. Its totient is φ = 34560000.

The previous prime is 138617989. The next prime is 138618023. The reversal of 138618000 is 816831.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 917925 + ... + 918075.

It is an arithmetic number, because the mean of its divisors is an integer number (1653912).

Almost surely, 2^138618000 is an apocalyptic number.

138618000 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 138618000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264625920).

138618000 is an abundant number, since it is smaller than the sum of its proper divisors (390633840).

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

138618000 is a wasteful number, since it uses less digits than its factorization.

138618000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 138618000 is about 11773.6145681774. The cubic root of 138618000 is about 517.5351792930.

The spelling of 138618000 in words is "one hundred thirty-eight million, six hundred eighteen thousand".