135944424000 has 2016 divisors, whose sum is σ = 642661972992. Its totient is φ = 27095040000.

The previous prime is 135944423917. The next prime is 135944424067. The reversal of 135944424000 is 424449531.

135944424000 is a `hidden beast` number, since 1 + 3 + 594 + 44 + 24 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1203047944 + ... + 1203048056.

Almost surely, 2^135944424000 is an apocalyptic number.

135944424000 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 135944424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321330986496).

135944424000 is an abundant number, since it is smaller than the sum of its proper divisors (506717548992).

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

135944424000 is a wasteful number, since it uses less digits than its factorization.

135944424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 135944424000 in words is "one hundred thirty-five billion, nine hundred forty-four million, four hundred twenty-four thousand".