133308000 has 432 divisors, whose sum is σ = 565227936. Its totient is φ = 29145600.

The previous prime is 133307989. The next prime is 133308011. The reversal of 133308000 is 803331.

It is an interprime number because it is at equal distance from previous prime (133307989) and next prime (133308011).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5795989 + ... + 5796011.

It is an arithmetic number, because the mean of its divisors is an integer number (1308398).

Almost surely, 2^133308000 is an apocalyptic number.

133308000 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 133308000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282613968).

133308000 is an abundant number, since it is smaller than the sum of its proper divisors (431919936).

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

133308000 is a wasteful number, since it uses less digits than its factorization.

133308000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 133308000 is about 11545.9083661702. The cubic root of 133308000 is about 510.8405975925.

The spelling of 133308000 in words is "one hundred thirty-three million, three hundred eight thousand".