135663960672000 has 1008 divisors, whose sum is σ = 507125568811680. Its totient is φ = 36146829312000.

The previous prime is 135663960671963. The next prime is 135663960672011. The reversal of 135663960672000 is 276069366531.

135663960672000 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 6 + 3 + 9 + 606 + 7 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 111 ways as a sum of consecutive naturals, for example, 49711966636 + ... + 49711969364.

It is an arithmetic number, because the mean of its divisors is an integer number (503100762710).

Almost surely, 2^{135663960672000} is an apocalyptic number.

135663960672000 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 135663960672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253562784405840).

135663960672000 is an abundant number, since it is smaller than the sum of its proper divisors (371461608139680).

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

135663960672000 is an frugal number, since it uses more digits than its factorization.

135663960672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4909 (or 4870 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 135663960672000 in words is "one hundred thirty-five trillion, six hundred sixty-three billion, nine hundred sixty million, six hundred seventy-two thousand".