129077568 has 84 divisors (see below), whose sum is σ = 371772180. Its totient is φ = 42817536.

The previous prime is 129077563. The next prime is 129077603. The reversal of 129077568 is 865770921.

129077568 is a `hidden beast` number, since 12 + 9 + 0 + 77 + 568 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 69355584 + 59721984 = 8328^2 + 7728^2 .

It is a super-2 number, since 2×129077568² = 33322037121589248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129077561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 159148 + ... + 159956.

Almost surely, 2^129077568 is an apocalyptic number.

129077568 is a gapful number since it is divisible by the number (18) 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 129077568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185886090).

129077568 is an abundant number, since it is smaller than the sum of its proper divisors (242694612).

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

129077568 is a wasteful number, since it uses less digits than its factorization.

129077568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 129077568 is about 11361.2309192270. The cubic root of 129077568 is about 505.3786892609.

The spelling of 129077568 in words is "one hundred twenty-nine million, seventy-seven thousand, five hundred sixty-eight".