129766 has 32 divisors (see below), whose sum is σ = 258048. Its totient is φ = 47520.

The previous prime is 129763. The next prime is 129769. The reversal of 129766 is 667921.

129766 = T₁ + T₂ + ... + T₉₁.

129766 is a nontrivial binomial coefficient, being equal to C(93, 3).

It is an interprime number because it is at equal distance from previous prime (129763) and next prime (129769).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129763) by changing a digit.

It is the 91-st tetrahedral number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4171 + ... + 4201.

It is an arithmetic number, because the mean of its divisors is an integer number (8064).

2¹²⁹⁷⁶⁶ is an apocalyptic number.

129766 is a deficient number, since it is larger than the sum of its proper divisors (128282).

129766 is a wasteful number, since it uses less digits than its factorization.

129766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76.

The product of its digits is 4536, while the sum is 31.

The square root of 129766 is about 360.2304817752. The cubic root of 129766 is about 50.6275571538.

129766 divided by its sum of digits (31) gives a triangular number (4186 = T₉₁).

The spelling of 129766 in words is "one hundred twenty-nine thousand, seven hundred sixty-six".