77141129 has 16 divisors (see below), whose sum is σ = 85542912. Its totient is φ = 69121728.

The previous prime is 77141117. The next prime is 77141161. The reversal of 77141129 is 92114177.

It is not a de Polignac number, because 77141129 - 2²⁰ = 76092553 is a prime.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 77141095 and 77141104.

It is not an unprimeable number, because it can be changed into a prime (77131129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70424 + ... + 71510.

It is an arithmetic number, because the mean of its divisors is an integer number (5346432).

Almost surely, 2^77141129 is an apocalyptic number.

It is an amenable number.

77141129 is a deficient number, since it is larger than the sum of its proper divisors (8401783).

77141129 is a wasteful number, since it uses less digits than its factorization.

77141129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256.

The product of its digits is 3528, while the sum is 32.

The square root of 77141129 is about 8783.0022771260. The cubic root of 77141129 is about 425.6918447818.

The spelling of 77141129 in words is "seventy-seven million, one hundred forty-one thousand, one hundred twenty-nine".