138210401589264 has 45 divisors (see below), whose sum is σ = 386797560374719. Its totient is φ = 46070086837920.

The previous prime is 138210401589251. The next prime is 138210401589329. The reversal of 138210401589264 is 462985104012831.

The square root of 138210401589264 is 11756292.

It is a perfect power (a square), and thus also a powerful number.

138210401589264 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 10 + 40 + 1 + 589 + 2 + 6 + 4 = 666.

It is a super-3 number, since 3×138210401589264³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 138210401589264.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 140585659 + ... + 141565349.

Almost surely, 2^{138210401589264} is an apocalyptic number.

138210401589264 is the 11756292-nd square number.

It is an amenable number.

138210401589264 is an abundant number, since it is smaller than the sum of its proper divisors (248587158785455).

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

138210401589264 is an frugal number, since it uses more digits than its factorization.

138210401589264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1959396 (or 979696 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 138210401589264 in words is "one hundred thirty-eight trillion, two hundred ten billion, four hundred one million, five hundred eighty-nine thousand, two hundred sixty-four".