133538640067458 has 160 divisors (see below), whose sum is σ = 300821742777600. Its totient is φ = 44276217283584.

The previous prime is 133538640067451. The next prime is 133538640067487. The reversal of 133538640067458 is 854760046835331.

133538640067458 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 3 + 86 + 40 + 0 + 67 + 458 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 133538640067395 and 133538640067404.

It is not an unprimeable number, because it can be changed into a prime (133538640067451) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 52512244135 + ... + 52512246677.

It is an arithmetic number, because the mean of its divisors is an integer number (1880135892360).

Almost surely, 2^{133538640067458} is an apocalyptic number.

133538640067458 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133538640067458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150410871388800).

133538640067458 is an abundant number, since it is smaller than the sum of its proper divisors (167283102710142).

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

133538640067458 is a wasteful number, since it uses less digits than its factorization.

133538640067458 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4838 (or 4829 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 133538640067458 in words is "one hundred thirty-three trillion, five hundred thirty-eight billion, six hundred forty million, sixty-seven thousand, four hundred fifty-eight".