124746561 has 45 divisors (see below), whose sum is σ = 200705241. Its totient is φ = 77200128.

The previous prime is 124746551. The next prime is 124746581. The reversal of 124746561 is 165647421.

The square root of 124746561 is 11169.

It is a perfect power (a square), and thus also a powerful number.

124746561 is a `hidden beast` number, since 1 + 24 + 74 + 6 + 561 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15752961 + 108993600 = 3969^2 + 10440^2 .

It is not a de Polignac number, because 124746561 - 2¹⁵ = 124713793 is a prime.

Its product of digits (40320) is a multiple of the sum of its prime factors (192).

It is not an unprimeable number, because it can be changed into a prime (124746541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1708821 + ... + 1708893.

Almost surely, 2^124746561 is an apocalyptic number.

124746561 is the 11169-th square number.

124746561 is the 5585-th centered octagonal number.

It is an amenable number.

124746561 is a deficient number, since it is larger than the sum of its proper divisors (75958680).

124746561 is an frugal number, since it uses more digits than its factorization.

124746561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 93 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The cubic root of 124746561 is about 499.6618526977.

Multiplying 124746561 by its sum of digits (36), we get a square (4490876196 = 67014²).

The spelling of 124746561 in words is "one hundred twenty-four million, seven hundred forty-six thousand, five hundred sixty-one".