133117845120 has 512 divisors, whose sum is σ = 519570374400. Its totient is φ = 32003112960.

The previous prime is 133117845079. The next prime is 133117845139. The reversal of 133117845120 is 21548711331.

133117845120 is a `hidden beast` number, since 1 + 3 + 31 + 178 + 451 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 9652630 + ... + 9666410.

Almost surely, 2^133117845120 is an apocalyptic number.

133117845120 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 133117845120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259785187200).

133117845120 is an abundant number, since it is smaller than the sum of its proper divisors (386452529280).

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

133117845120 is a wasteful number, since it uses less digits than its factorization.

133117845120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13865 (or 13847 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 133117845120 in words is "one hundred thirty-three billion, one hundred seventeen million, eight hundred forty-five thousand, one hundred twenty".