133342352640 has 864 divisors, whose sum is σ = 574337836800. Its totient is φ = 27869184000.

The previous prime is 133342352597. The next prime is 133342352681. The reversal of 133342352640 is 46253243331.

133342352640 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 4 + 2 + 3 + 5 + 2 + 640 = 666.

It is a super-2 number, since 2×133342352640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 133342352595 and 133342352604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44431140 + ... + 44434140.

Almost surely, 2^133342352640 is an apocalyptic number.

133342352640 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 133342352640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287168918400).

133342352640 is an abundant number, since it is smaller than the sum of its proper divisors (440995484160).

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

133342352640 is a wasteful number, since it uses less digits than its factorization.

133342352640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3083 (or 3066 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 133342352640 its reverse (46253243331), we get a palindrome (179595595971).

The spelling of 133342352640 in words is "one hundred thirty-three billion, three hundred forty-two million, three hundred fifty-two thousand, six hundred forty".