133542824640 has 112 divisors (see below), whose sum is σ = 424484608992. Its totient is φ = 35570589696.

The previous prime is 133542824627. The next prime is 133542824659. The reversal of 133542824640 is 46428245331.

It is a super-2 number, since 2×133542824640² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133542824592 and 133542824601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 762612 + ... + 921228.

Almost surely, 2^133542824640 is an apocalyptic number.

133542824640 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 133542824640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212242304496).

133542824640 is an abundant number, since it is smaller than the sum of its proper divisors (290941784352).

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

133542824640 is a wasteful number, since it uses less digits than its factorization.

133542824640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159514 (or 159504 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 133542824640 in words is "one hundred thirty-three billion, five hundred forty-two million, eight hundred twenty-four thousand, six hundred forty".