133134553150320 has 320 divisors, whose sum is σ = 437479093117440. Its totient is φ = 33377138049024.

The previous prime is 133134553150271. The next prime is 133134553150331. The reversal of 133134553150320 is 23051355431331.

It is a super-2 number, since 2×133134553150320² (a number of 29 digits) contains 22 as substring.

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, 27638476552 + ... + 27638481368.

It is an arithmetic number, because the mean of its divisors is an integer number (1367122165992).

Almost surely, 2^{133134553150320} is an apocalyptic number.

133134553150320 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 133134553150320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218739546558720).

133134553150320 is an abundant number, since it is smaller than the sum of its proper divisors (304344539967120).

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

133134553150320 is a wasteful number, since it uses less digits than its factorization.

133134553150320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10952 (or 10946 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 39.

The spelling of 133134553150320 in words is "one hundred thirty-three trillion, one hundred thirty-four billion, five hundred fifty-three million, one hundred fifty thousand, three hundred twenty".