133342434040104 has 320 divisors, whose sum is σ = 394287673348800. Its totient is φ = 41985253656576.

The previous prime is 133342434040091. The next prime is 133342434040139. The reversal of 133342434040104 is 401040434243331.

133342434040104 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 4 + 243 + 4 + 0 + 401 + 0 + 4 = 666.

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

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, 9953149534 + ... + 9953162930.

It is an arithmetic number, because the mean of its divisors is an integer number (1232148979215).

Almost surely, 2^{133342434040104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133342434040104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197143836674400).

133342434040104 is an abundant number, since it is smaller than the sum of its proper divisors (260945239308696).

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

133342434040104 is a wasteful number, since it uses less digits than its factorization.

133342434040104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15734 (or 15721 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 133342434040104 its reverse (401040434243331), we get a palindrome (534382868283435).

The spelling of 133342434040104 in words is "one hundred thirty-three trillion, three hundred forty-two billion, four hundred thirty-four million, forty thousand, one hundred four".