133021022342256 has 120 divisors (see below), whose sum is σ = 378214832760960. Its totient is φ = 43634107617408.

The previous prime is 133021022342231. The next prime is 133021022342269. The reversal of 133021022342256 is 652243220120331.

133021022342256 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 2 + 1 + 0 + 223 + 422 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 133021022342256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2471055 + ... + 16496913.

It is an arithmetic number, because the mean of its divisors is an integer number (3151790273008).

Almost surely, 2^{133021022342256} is an apocalyptic number.

133021022342256 is a gapful number since it is divisible by the number (16) 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 133021022342256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189107416380480).

133021022342256 is an abundant number, since it is smaller than the sum of its proper divisors (245193810418704).

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

133021022342256 is a wasteful number, since it uses less digits than its factorization.

133021022342256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14026923 (or 14026914 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 133021022342256 its reverse (652243220120331), we get a palindrome (785264242462587).

The spelling of 133021022342256 in words is "one hundred thirty-three trillion, twenty-one billion, twenty-two million, three hundred forty-two thousand, two hundred fifty-six".