133253527680 has 1280 divisors, whose sum is σ = 599145845760. Its totient is φ = 27471052800.

The previous prime is 133253527663. The next prime is 133253527703. The reversal of 133253527680 is 86725352331.

133253527680 is a `hidden beast` number, since 1 + 3 + 32 + 535 + 2 + 7 + 6 + 80 = 666.

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 159 ways as a sum of consecutive naturals, for example, 221719380 + ... + 221719980.

It is an arithmetic number, because the mean of its divisors is an integer number (468082692).

Almost surely, 2^133253527680 is an apocalyptic number.

133253527680 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 133253527680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299572922880).

133253527680 is an abundant number, since it is smaller than the sum of its proper divisors (465892318080).

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

133253527680 is a wasteful number, since it uses less digits than its factorization.

133253527680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 133253527680 in words is "one hundred thirty-three billion, two hundred fifty-three million, five hundred twenty-seven thousand, six hundred eighty".