133634878634880 has 1792 divisors, whose sum is σ = 582888051072000. Its totient is φ = 29216261910528.

The previous prime is 133634878634849. The next prime is 133634878634891. The reversal of 133634878634880 is 88436878436331.

It is a happy number.

133634878634880 is a `hidden beast` number, since 1 + 3 + 3 + 6 + 3 + 4 + 87 + 8 + 63 + 488 + 0 = 666.

It is a super-2 number, since 2×133634878634880² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 133634878634799 and 133634878634808.

It is a congruent number.

It is an unprimeable number.

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 223 ways as a sum of consecutive naturals, for example, 3680673687 + ... + 3680709993.

Almost surely, 2^{133634878634880} is an apocalyptic number.

133634878634880 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 133634878634880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291444025536000).

133634878634880 is an abundant number, since it is smaller than the sum of its proper divisors (449253172437120).

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

133634878634880 is an frugal number, since it uses more digits than its factorization.

133634878634880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36388 (or 36347 counting only the distinct ones).

The product of its (nonzero) digits is 1337720832, while the sum is 72.

The spelling of 133634878634880 in words is "one hundred thirty-three trillion, six hundred thirty-four billion, eight hundred seventy-eight million, six hundred thirty-four thousand, eight hundred eighty".