133969 has 8 divisors (see below), whose sum is σ = 154080. Its totient is φ = 115200.

The previous prime is 133967. The next prime is 133979. The reversal of 133969 is 969331.

133969 = 47² + 48² + ... + 79².

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 133969 - 2¹ = 133967 is a prime.

It is a super-2 number, since 2×133969² = 35895385922, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 133969.

It is not an unprimeable number, because it can be changed into a prime (133963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112 + ... + 529.

It is an arithmetic number, because the mean of its divisors is an integer number (19260).

2¹³³⁹⁶⁹ is an apocalyptic number.

133969 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

133969 is a deficient number, since it is larger than the sum of its proper divisors (20111).

133969 is a wasteful number, since it uses less digits than its factorization.

133969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671.

The product of its digits is 4374, while the sum is 31.

The square root of 133969 is about 366.0177591320. The cubic root of 133969 is about 51.1683530422.

The spelling of 133969 in words is "one hundred thirty-three thousand, nine hundred sixty-nine".