133770 has 64 divisors (see below), whose sum is σ = 403200. Its totient is φ = 28224.

The previous prime is 133769. The next prime is 133781. The reversal of 133770 is 77331.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

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, 10284 + ... + 10296.

It is an arithmetic number, because the mean of its divisors is an integer number (6300).

2¹³³⁷⁷⁰ is an apocalyptic number.

133770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201600).

133770 is an abundant number, since it is smaller than the sum of its proper divisors (269430).

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

133770 is a wasteful number, since it uses less digits than its factorization.

133770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 441, while the sum is 21.

The square root of 133770 is about 365.7458133732. The cubic root of 133770 is about 51.1430050184.

It can be divided in two parts, 133 and 770, that added together give a triangular number (903 = T₄₂).

The spelling of 133770 in words is "one hundred thirty-three thousand, seven hundred seventy".