139968000 has 320 divisors, whose sum is σ = 523448640. Its totient is φ = 37324800.

The previous prime is 139967983. The next prime is 139968011. The reversal of 139968000 is 869931.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is an ABA number since it can be written as A⋅B^A, here for A=3, B=360.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27993598 + ... + 27993602.

It is an arithmetic number, because the mean of its divisors is an integer number (1635777).

Almost surely, 2^139968000 is an apocalyptic number.

139968000 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 139968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261724320).

139968000 is an abundant number, since it is smaller than the sum of its proper divisors (383480640).

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

139968000 is an frugal number, since it uses more digits than its factorization.

139968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 139968000 is about 11830.8072421116. The cubic root of 139968000 is about 519.2098453107.

The spelling of 139968000 in words is "one hundred thirty-nine million, nine hundred sixty-eight thousand".