133763585760 has 384 divisors, whose sum is σ = 553508121600. Its totient is φ = 29520046080.

The previous prime is 133763585741. The next prime is 133763585821. The reversal of 133763585760 is 67585367331.

133763585760 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 63 + 5 + 8 + 576 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 133763585697 and 133763585706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 800695 + ... + 953225.

It is an arithmetic number, because the mean of its divisors is an integer number (1441427400).

Almost surely, 2^133763585760 is an apocalyptic number.

133763585760 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 133763585760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276754060800).

133763585760 is an abundant number, since it is smaller than the sum of its proper divisors (419744535840).

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

133763585760 is a wasteful number, since it uses less digits than its factorization.

133763585760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152591 (or 152577 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 133763585760 in words is "one hundred thirty-three billion, seven hundred sixty-three million, five hundred eighty-five thousand, seven hundred sixty".