64133400144 has 160 divisors (see below), whose sum is σ = 185432131584. Its totient is φ = 18936253440.

The previous prime is 64133400139. The next prime is 64133400157. The reversal of 64133400144 is 44100433146.

It is a super-2 number, since 2×64133400144² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3189129 + ... + 3209175.

Almost surely, 2^64133400144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64133400144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92716065792).

64133400144 is an abundant number, since it is smaller than the sum of its proper divisors (121298731440).

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

64133400144 is a wasteful number, since it uses less digits than its factorization.

64133400144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20225 (or 20219 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 64133400144 in words is "sixty-four billion, one hundred thirty-three million, four hundred thousand, one hundred forty-four".