133551124056 has 384 divisors, whose sum is σ = 446909184000. Its totient is φ = 36806918400.

The previous prime is 133551124039. The next prime is 133551124093. The reversal of 133551124056 is 650421155331.

133551124056 is a `hidden beast` number, since 1 + 3 + 3 + 551 + 12 + 40 + 56 = 666.

It is a super-2 number, since 2×133551124056² (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 self number, because there is not a number n which added to its sum of digits gives 133551124056.

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, 161098650 + ... + 161099478.

It is an arithmetic number, because the mean of its divisors is an integer number (1163826000).

Almost surely, 2^133551124056 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 133551124056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223454592000).

133551124056 is an abundant number, since it is smaller than the sum of its proper divisors (313358059944).

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

133551124056 is a wasteful number, since it uses less digits than its factorization.

133551124056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 133551124056 its reverse (650421155331), we get a palindrome (783972279387).

The spelling of 133551124056 in words is "one hundred thirty-three billion, five hundred fifty-one million, one hundred twenty-four thousand, fifty-six".