133682232640 has 448 divisors, whose sum is σ = 369476121600. Its totient is φ = 46003077120.

The previous prime is 133682232623. The next prime is 133682232641. The reversal of 133682232640 is 46232286331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 133682232593 and 133682232602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133682232641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 975782652 + ... + 975782788.

Almost surely, 2^133682232640 is an apocalyptic number.

133682232640 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 133682232640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184738060800).

133682232640 is an abundant number, since it is smaller than the sum of its proper divisors (235793888960).

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

133682232640 is a wasteful number, since it uses less digits than its factorization.

133682232640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 40.

The spelling of 133682232640 in words is "one hundred thirty-three billion, six hundred eighty-two million, two hundred thirty-two thousand, six hundred forty".