133232513040 has 400 divisors, whose sum is σ = 515556645120. Its totient is φ = 31610787840.

The previous prime is 133232513027. The next prime is 133232513059. The reversal of 133232513040 is 40315232331.

133232513040 is a `hidden beast` number, since 1 + 3 + 32 + 325 + 1 + 304 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 133232512995 and 133232513013.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3330276 + ... + 3370044.

Almost surely, 2^133232513040 is an apocalyptic number.

133232513040 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 133232513040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257778322560).

133232513040 is an abundant number, since it is smaller than the sum of its proper divisors (382324132080).

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

133232513040 is a wasteful number, since it uses less digits than its factorization.

133232513040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39852 (or 39837 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 133232513040 its reverse (40315232331), we get a palindrome (173547745371).

The spelling of 133232513040 in words is "one hundred thirty-three billion, two hundred thirty-two million, five hundred thirteen thousand, forty".