125616129 has 8 divisors (see below), whose sum is σ = 167752032. Its totient is φ = 83612160.

The previous prime is 125616121. The next prime is 125616131. The reversal of 125616129 is 921616521.

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

It is not a de Polignac number, because 125616129 - 2³ = 125616121 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 125616129.

It is not an unprimeable number, because it can be changed into a prime (125616121) 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 7 ways as a sum of consecutive naturals, for example, 30739 + ... + 34584.

It is an arithmetic number, because the mean of its divisors is an integer number (20969004).

It is a Proth number, since it is equal to 7667 ⋅ 2¹⁴ + 1 and 7667 < 2¹⁴.

Almost surely, 2^125616129 is an apocalyptic number.

It is an amenable number.

125616129 is a deficient number, since it is larger than the sum of its proper divisors (42135903).

125616129 is an equidigital number, since it uses as much as digits as its factorization.

125616129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65967.

The product of its digits is 6480, while the sum is 33.

The square root of 125616129 is about 11207.8601436670. The cubic root of 125616129 is about 500.8201592753.

The spelling of 125616129 in words is "one hundred twenty-five million, six hundred sixteen thousand, one hundred twenty-nine".