133505910720 has 1568 divisors, whose sum is σ = 619385786880. Its totient is φ = 26605117440.

The previous prime is 133505910679. The next prime is 133505910749. The reversal of 133505910720 is 27019505331.

133505910720 is a `hidden beast` number, since 13 + 3 + 50 + 591 + 0 + 7 + 2 + 0 = 666.

It is a super-2 number, since 2×133505910720² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 403340955 + ... + 403341285.

Almost surely, 2^133505910720 is an apocalyptic number.

133505910720 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 133505910720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309692893440).

133505910720 is an abundant number, since it is smaller than the sum of its proper divisors (485879876160).

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

133505910720 is a wasteful number, since it uses less digits than its factorization.

133505910720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The spelling of 133505910720 in words is "one hundred thirty-three billion, five hundred five million, nine hundred ten thousand, seven hundred twenty".