133763319761456 has 40 divisors (see below), whose sum is σ = 323116590595584. Its totient is φ = 52115579127360.

The previous prime is 133763319761443. The next prime is 133763319761471. The reversal of 133763319761456 is 654167913367331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 133763319761392 and 133763319761401.

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 7 ways as a sum of consecutive naturals, for example, 54287060360 + ... + 54287062823.

Almost surely, 2^{133763319761456} is an apocalyptic number.

133763319761456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

133763319761456 is an abundant number, since it is smaller than the sum of its proper divisors (189353270834128).

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

133763319761456 is a wasteful number, since it uses less digits than its factorization.

133763319761456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108574123209 (or 108574123203 counting only the distinct ones).

The product of its digits is 154314720, while the sum is 65.

The spelling of 133763319761456 in words is "one hundred thirty-three trillion, seven hundred sixty-three billion, three hundred nineteen million, seven hundred sixty-one thousand, four hundred fifty-six".