133342120402524 has 288 divisors, whose sum is σ = 371241517570560. Its totient is φ = 40019728320000.

The previous prime is 133342120402523. The next prime is 133342120402529. The reversal of 133342120402524 is 425204021243331.

133342120402524 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 4 + 2 + 120 + 4 + 0 + 2 + 524 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133342120402523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28018934457 + ... + 28018939215.

It is an arithmetic number, because the mean of its divisors is an integer number (1289033047120).

Almost surely, 2^{133342120402524} 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 133342120402524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185620758785280).

133342120402524 is an abundant number, since it is smaller than the sum of its proper divisors (237899397168036).

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

133342120402524 is a wasteful number, since it uses less digits than its factorization.

133342120402524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6473 (or 6468 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 133342120402524 its reverse (425204021243331), we get a palindrome (558546141645855).

The spelling of 133342120402524 in words is "one hundred thirty-three trillion, three hundred forty-two billion, one hundred twenty million, four hundred two thousand, five hundred twenty-four".