133000 has 64 divisors (see below), whose sum is σ = 374400. Its totient is φ = 43200.

The previous prime is 132989. The next prime is 133013. The reversal of 133000 is 331.

133000 = T₃₉ + T₄₀ + ... + T₉₄.

It is a happy number.

It is a sliding number, since 133000 = 8000 + 125000 and 1/8000 + 1/125000 = 0.000133000.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

133000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6991 + ... + 7009.

It is an arithmetic number, because the mean of its divisors is an integer number (5850).

2¹³³⁰⁰⁰ is an apocalyptic number.

133000 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 133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187200).

133000 is an abundant number, since it is smaller than the sum of its proper divisors (241400).

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

133000 is a wasteful number, since it uses less digits than its factorization.

133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 7.

The square root of 133000 is about 364.6916505762. The cubic root of 133000 is about 51.0446872200.

Adding to 133000 its reverse (331), we get a palindrome (133331).

The spelling of 133000 in words is "one hundred thirty-three thousand".