135743664000 has 512 divisors, whose sum is σ = 532046361600. Its totient is φ = 29955072000.

The previous prime is 135743663989. The next prime is 135743664041. The reversal of 135743664000 is 466347531.

It is a super-2 number, since 2×135743664000² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 135743664000.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 9737035 + ... + 9750965.

It is an arithmetic number, because the mean of its divisors is an integer number (1039153050).

Almost surely, 2^135743664000 is an apocalyptic number.

135743664000 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 135743664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266023180800).

135743664000 is an abundant number, since it is smaller than the sum of its proper divisors (396302697600).

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

135743664000 is a wasteful number, since it uses less digits than its factorization.

135743664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13999 (or 13977 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The spelling of 135743664000 in words is "one hundred thirty-five billion, seven hundred forty-three million, six hundred sixty-four thousand".