133766928960 has 448 divisors, whose sum is σ = 523655373312. Its totient is φ = 28232515584.

The previous prime is 133766928881. The next prime is 133766928979. The reversal of 133766928960 is 69829667331.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×133766928960³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 133766928894 and 133766928903.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6043674 + ... + 6065766.

Almost surely, 2^133766928960 is an apocalyptic number.

133766928960 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 133766928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261827686656).

133766928960 is an abundant number, since it is smaller than the sum of its proper divisors (389888444352).

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

133766928960 is a wasteful number, since it uses less digits than its factorization.

133766928960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22190 (or 22180 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 60.

The spelling of 133766928960 in words is "one hundred thirty-three billion, seven hundred sixty-six million, nine hundred twenty-eight thousand, nine hundred sixty".