139788000 has 288 divisors, whose sum is σ = 542741472. Its totient is φ = 33792000.

The previous prime is 139787987. The next prime is 139788041. The reversal of 139788000 is 887931.

139788000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 395824 + ... + 396176.

It is an arithmetic number, because the mean of its divisors is an integer number (1884519).

Almost surely, 2^139788000 is an apocalyptic number.

139788000 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 139788000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271370736).

139788000 is an abundant number, since it is smaller than the sum of its proper divisors (402953472).

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

139788000 is a wasteful number, since it uses less digits than its factorization.

139788000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 139788000 is about 11823.1975370456. The cubic root of 139788000 is about 518.9871804556.

The spelling of 139788000 in words is "one hundred thirty-nine million, seven hundred eighty-eight thousand".