139738000 has 80 divisors (see below), whose sum is σ = 341518320. Its totient is φ = 55296000.

The previous prime is 139737971. The next prime is 139738009. The reversal of 139738000 is 837931.

It can be written as a sum of positive squares in 8 ways, for example, as 9960336 + 129777664 = 3156^2 + 11392^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (139738009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217680 + ... + 218320.

It is an arithmetic number, because the mean of its divisors is an integer number (4268979).

Almost surely, 2^139738000 is an apocalyptic number.

139738000 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 139738000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170759160).

139738000 is an abundant number, since it is smaller than the sum of its proper divisors (201780320).

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

139738000 is a wasteful number, since it uses less digits than its factorization.

139738000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 139738000 is about 11821.0828607197. The cubic root of 139738000 is about 518.9252951876.

The spelling of 139738000 in words is "one hundred thirty-nine million, seven hundred thirty-eight thousand".