133763257056 has 768 divisors, whose sum is σ = 456497233920. Its totient is φ = 33675264000.

The previous prime is 133763257051. The next prime is 133763257057. The reversal of 133763257056 is 650752367331.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 133763256996 and 133763257014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133763257051) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 574091116 + ... + 574091348.

It is an arithmetic number, because the mean of its divisors is an integer number (594397440).

Almost surely, 2^133763257056 is an apocalyptic number.

133763257056 is a gapful number since it is divisible by the number (16) 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 133763257056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228248616960).

133763257056 is an abundant number, since it is smaller than the sum of its proper divisors (322733976864).

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

133763257056 is a wasteful number, since it uses less digits than its factorization.

133763257056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 48.

The spelling of 133763257056 in words is "one hundred thirty-three billion, seven hundred sixty-three million, two hundred fifty-seven thousand, fifty-six".