139564900 has 72 divisors (see below), whose sum is σ = 326932200. Its totient is φ = 51517440.

The previous prime is 139564891. The next prime is 139564933. The reversal of 139564900 is 9465931.

It can be written as a sum of positive squares in 12 ways, for example, as 16842816 + 122722084 = 4104^2 + 11078^2 .

It is a super-3 number, since 3×139564900³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 139564900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89326 + ... + 90874.

It is an arithmetic number, because the mean of its divisors is an integer number (4540725).

Almost surely, 2^139564900 is an apocalyptic number.

139564900 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 139564900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163466100).

139564900 is an abundant number, since it is smaller than the sum of its proper divisors (187367300).

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

139564900 is a wasteful number, since it uses less digits than its factorization.

139564900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 37.

The square root of 139564900 is about 11813.7589276233. The cubic root of 139564900 is about 518.7109343011.

The spelling of 139564900 in words is "one hundred thirty-nine million, five hundred sixty-four thousand, nine hundred".