133135073280 has 960 divisors, whose sum is σ = 549621072000. Its totient is φ = 30576476160.

The previous prime is 133135073237. The next prime is 133135073293. The reversal of 133135073280 is 82370531331.

133135073280 is a `hidden beast` number, since 1 + 33 + 13 + 507 + 32 + 80 = 666.

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 47 ways as a sum of consecutive naturals, for example, 7007109111 + ... + 7007109129.

It is an arithmetic number, because the mean of its divisors is an integer number (572521950).

Almost surely, 2^133135073280 is an apocalyptic number.

133135073280 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 133135073280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274810536000).

133135073280 is an abundant number, since it is smaller than the sum of its proper divisors (416485998720).

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

133135073280 is an frugal number, since it uses more digits than its factorization.

133135073280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 133135073280 in words is "one hundred thirty-three billion, one hundred thirty-five million, seventy-three thousand, two hundred eighty".