138672000 has 320 divisors, whose sum is σ = 519845040. Its totient is φ = 36633600.

The previous prime is 138671999. The next prime is 138672019. The reversal of 138672000 is 276831.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1295947 + ... + 1296053.

Almost surely, 2^138672000 is an apocalyptic number.

138672000 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 138672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259922520).

138672000 is an abundant number, since it is smaller than the sum of its proper divisors (381173040).

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

138672000 is an equidigital number, since it uses as much as digits as its factorization.

138672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 138672000 is about 11775.9076083332. The cubic root of 138672000 is about 517.6023742015.

The spelling of 138672000 in words is "one hundred thirty-eight million, six hundred seventy-two thousand".