129092256 has 72 divisors (see below), whose sum is σ = 370970964. Its totient is φ = 42577920.

The previous prime is 129092239. The next prime is 129092263. The reversal of 129092256 is 652290921.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 128051856 + 1040400 = 11316^2 + 1020^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 129092256.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25626 + ... + 30246.

Almost surely, 2^129092256 is an apocalyptic number.

129092256 is a gapful number since it is divisible by the number (16) 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 129092256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185485482).

129092256 is an abundant number, since it is smaller than the sum of its proper divisors (241878708).

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

129092256 is a wasteful number, since it uses less digits than its factorization.

129092256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4734 (or 4723 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 129092256 is about 11361.8773096703. The cubic root of 129092256 is about 505.3978578915.

The spelling of 129092256 in words is "one hundred twenty-nine million, ninety-two thousand, two hundred fifty-six".