138078000 has 160 divisors (see below), whose sum is σ = 494819520. Its totient is φ = 36806400.

The previous prime is 138077987. The next prime is 138078001. The reversal of 138078000 is 870831.

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

It is not an unprimeable number, because it can be changed into a prime (138078001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52722 + ... + 55278.

It is an arithmetic number, because the mean of its divisors is an integer number (3092622).

Almost surely, 2^138078000 is an apocalyptic number.

138078000 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 138078000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247409760).

138078000 is an abundant number, since it is smaller than the sum of its proper divisors (356741520).

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

138078000 is a wasteful number, since it uses less digits than its factorization.

138078000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2589 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 138078000 is about 11750.6595559568. The cubic root of 138078000 is about 516.8622684063.

The spelling of 138078000 in words is "one hundred thirty-eight million, seventy-eight thousand".