133173360 has 120 divisors (see below), whose sum is σ = 459420000. Its totient is φ = 34546176.

The previous prime is 133173353. The next prime is 133173367. The reversal of 133173360 is 63371331.

133173360 is a `hidden beast` number, since 13 + 317 + 336 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (133173353) and next prime (133173367).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133173367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24141 + ... + 29139.

It is an arithmetic number, because the mean of its divisors is an integer number (3828500).

Almost surely, 2^133173360 is an apocalyptic number.

133173360 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 133173360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229710000).

133173360 is an abundant number, since it is smaller than the sum of its proper divisors (326246640).

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

133173360 is a wasteful number, since it uses less digits than its factorization.

133173360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5055 (or 5046 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 27.

The square root of 133173360 is about 11540.0762562472. The cubic root of 133173360 is about 510.6685580383.

It can be divided in two parts, 1331 and 73360, that added together give a triangular number (74691 = T₃₈₆).

The spelling of 133173360 in words is "one hundred thirty-three million, one hundred seventy-three thousand, three hundred sixty".