133963351680 has 512 divisors, whose sum is σ = 468840960000. Its totient is φ = 32405667840.

The previous prime is 133963351679. The next prime is 133963351723. The reversal of 133963351680 is 86153369331.

It is a happy number.

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

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, 147050425 + ... + 147051335.

It is an arithmetic number, because the mean of its divisors is an integer number (915705000).

Almost surely, 2^133963351680 is an apocalyptic number.

133963351680 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 133963351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234420480000).

133963351680 is an abundant number, since it is smaller than the sum of its proper divisors (334877608320).

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

133963351680 is a wasteful number, since it uses less digits than its factorization.

133963351680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 48.

The spelling of 133963351680 in words is "one hundred thirty-three billion, nine hundred sixty-three million, three hundred fifty-one thousand, six hundred eighty".