133585114080 has 384 divisors, whose sum is σ = 476395831296. Its totient is φ = 31181875200.

The previous prime is 133585114049. The next prime is 133585114081. The reversal of 133585114080 is 80411585331.

It is a super-2 number, since 2×133585114080² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133585114081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16115697 + ... + 16123983.

It is an arithmetic number, because the mean of its divisors is an integer number (1240614144).

Almost surely, 2^133585114080 is an apocalyptic number.

133585114080 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 133585114080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238197915648).

133585114080 is an abundant number, since it is smaller than the sum of its proper divisors (342810717216).

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

133585114080 is a wasteful number, since it uses less digits than its factorization.

133585114080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8430 (or 8422 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The spelling of 133585114080 in words is "one hundred thirty-three billion, five hundred eighty-five million, one hundred fourteen thousand, eighty".