161461125 has 144 divisors (see below), whose sum is σ = 353723760. Its totient is φ = 70560000.

The previous prime is 161461123. The next prime is 161461151. The reversal of 161461125 is 521164161.

161461125 is a `hidden beast` number, since 16 + 14 + 611 + 25 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 14130081 + 147331044 = 3759^2 + 12138^2 .

It is not a de Polignac number, because 161461125 - 2¹ = 161461123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161461123) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1598575 + ... + 1598675.

It is an arithmetic number, because the mean of its divisors is an integer number (2456415).

Almost surely, 2^161461125 is an apocalyptic number.

161461125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

161461125 is an abundant number, since it is smaller than the sum of its proper divisors (192262635).

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

161461125 is a wasteful number, since it uses less digits than its factorization.

161461125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 145 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 161461125 is about 12706.7354186667. The cubic root of 161461125 is about 544.5310614270.

It can be divided in two parts, 16146 and 1125, that added together give a palindrome (17271).

The spelling of 161461125 in words is "one hundred sixty-one million, four hundred sixty-one thousand, one hundred twenty-five".