139264000 has 136 divisors (see below), whose sum is σ = 368047368. Its totient is φ = 52428800.

The previous prime is 139263953. The next prime is 139264033. The reversal of 139264000 is 462931.

It can be written as a sum of positive squares in 4 ways, for example, as 589824 + 138674176 = 768^2 + 11776^2 .

It is a tau number, because it is divible by the number of its divisors (136).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8191992 + ... + 8192008.

Almost surely, 2^139264000 is an apocalyptic number.

139264000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

139264000 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184023684).

139264000 is an abundant number, since it is smaller than the sum of its proper divisors (228783368).

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

139264000 is an frugal number, since it uses more digits than its factorization.

139264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 139264000 is about 11801.0169053349. The cubic root of 139264000 is about 518.3378882044.

The spelling of 139264000 in words is "one hundred thirty-nine million, two hundred sixty-four thousand".