133705837512 has 224 divisors, whose sum is σ = 408984817080. Its totient is φ = 40713891840.

The previous prime is 133705837511. The next prime is 133705837621. The reversal of 133705837512 is 215738507331.

133705837512 is a `hidden beast` number, since 1 + 33 + 70 + 5 + 8 + 37 + 512 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 119476687716 + 14229149796 = 345654^2 + 119286^2 .

It is not an unprimeable number, because it can be changed into a prime (133705837511) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7345062 + ... + 7363242.

Almost surely, 2^133705837512 is an apocalyptic number.

133705837512 is a gapful number since it is divisible by the number (12) 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 133705837512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204492408540).

133705837512 is an abundant number, since it is smaller than the sum of its proper divisors (275278979568).

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

133705837512 is a wasteful number, since it uses less digits than its factorization.

133705837512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18315 (or 18296 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 133705837512 in words is "one hundred thirty-three billion, seven hundred five million, eight hundred thirty-seven thousand, five hundred twelve".