133011486720 has 960 divisors, whose sum is σ = 563199436800. Its totient is φ = 29382082560.

The previous prime is 133011486719. The next prime is 133011486767. The reversal of 133011486720 is 27684110331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 179988111 + ... + 179988849.

It is an arithmetic number, because the mean of its divisors is an integer number (586666080).

Almost surely, 2^133011486720 is an apocalyptic number.

133011486720 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 133011486720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281599718400).

133011486720 is an abundant number, since it is smaller than the sum of its proper divisors (430187950080).

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

133011486720 is an equidigital number, since it uses as much as digits as its factorization.

133011486720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 133011486720 in words is "one hundred thirty-three billion, eleven million, four hundred eighty-six thousand, seven hundred twenty".