133325761536 has 440 divisors, whose sum is σ = 457250016960. Its totient is φ = 38270361600.

The previous prime is 133325761531. The next prime is 133325761549. The reversal of 133325761536 is 635167523331.

133325761536 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 2 + 57 + 61 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 133325761491 and 133325761500.

It is not an unprimeable number, because it can be changed into a prime (133325761531) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17331451 + ... + 17339141.

It is an arithmetic number, because the mean of its divisors is an integer number (1039204584).

Almost surely, 2^133325761536 is an apocalyptic number.

133325761536 is a gapful number since it is divisible by the number (16) 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 133325761536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228625008480).

133325761536 is an abundant number, since it is smaller than the sum of its proper divisors (323924255424).

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

133325761536 is a wasteful number, since it uses less digits than its factorization.

133325761536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7753 (or 7726 counting only the distinct ones).

The product of its digits is 1020600, while the sum is 45.

The spelling of 133325761536 in words is "one hundred thirty-three billion, three hundred twenty-five million, seven hundred sixty-one thousand, five hundred thirty-six".