133986360 has 128 divisors (see below), whose sum is σ = 417130560. Its totient is φ = 34406400.

The previous prime is 133986353. The next prime is 133986373. The reversal of 133986360 is 63689331.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 555840 + ... + 556080.

Almost surely, 2^133986360 is an apocalyptic number.

133986360 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 133986360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208565280).

133986360 is an abundant number, since it is smaller than the sum of its proper divisors (283144200).

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

133986360 is a wasteful number, since it uses less digits than its factorization.

133986360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 133986360 is about 11575.2477295305. The cubic root of 133986360 is about 511.7056311626.

The spelling of 133986360 in words is "one hundred thirty-three million, nine hundred eighty-six thousand, three hundred sixty".