133706880 has 192 divisors, whose sum is σ = 467812800. Its totient is φ = 35186688.

The previous prime is 133706861. The next prime is 133706891. The reversal of 133706880 is 88607331.

It is a tau number, because it is divible by the number of its divisors (192).

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

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, 800557 + ... + 800723.

It is an arithmetic number, because the mean of its divisors is an integer number (2436525).

Almost surely, 2^133706880 is an apocalyptic number.

133706880 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 133706880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233906400).

133706880 is an abundant number, since it is smaller than the sum of its proper divisors (334105920).

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

133706880 is a wasteful number, since it uses less digits than its factorization.

133706880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 133706880 is about 11563.1691157744. The cubic root of 133706880 is about 511.3495973088.

The spelling of 133706880 in words is "one hundred thirty-three million, seven hundred six thousand, eight hundred eighty".