133645446720 has 896 divisors, whose sum is σ = 522305280000. Its totient is φ = 32035627008.

The previous prime is 133645446713. The next prime is 133645446761. The reversal of 133645446720 is 27644546331.

133645446720 is a `hidden beast` number, since 1 + 3 + 36 + 4 + 544 + 6 + 72 + 0 = 666.

133645446720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×133645446720² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 318962671 + ... + 318963089.

It is an arithmetic number, because the mean of its divisors is an integer number (582930000).

Almost surely, 2^133645446720 is an apocalyptic number.

133645446720 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 133645446720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261152640000).

133645446720 is an abundant number, since it is smaller than the sum of its proper divisors (388659833280).

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

133645446720 is a wasteful number, since it uses less digits than its factorization.

133645446720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 133645446720 in words is "one hundred thirty-three billion, six hundred forty-five million, four hundred forty-six thousand, seven hundred twenty".