138417000 has 256 divisors, whose sum is σ = 469497600. Its totient is φ = 33868800.

The previous prime is 138416987. The next prime is 138417011. The reversal of 138417000 is 714831.

138417000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 3218979 + ... + 3219021.

It is an arithmetic number, because the mean of its divisors is an integer number (1833975).

Almost surely, 2^138417000 is an apocalyptic number.

138417000 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 138417000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234748800).

138417000 is an abundant number, since it is smaller than the sum of its proper divisors (331080600).

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

138417000 is a wasteful number, since it uses less digits than its factorization.

138417000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 138417000 is about 11765.0754353723. The cubic root of 138417000 is about 517.2849114319.

The spelling of 138417000 in words is "one hundred thirty-eight million, four hundred seventeen thousand".