124753772025 has 135 divisors (see below), whose sum is σ = 237530758399. Its totient is φ = 64729761120.

The previous prime is 124753771997. The next prime is 124753772083. The reversal of 124753772025 is 520277357421.

The square root of 124753772025 is 353205.

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

124753772025 is a `hidden beast` number, since 1 + 2 + 4 + 75 + 377 + 202 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 44911357929 + 79842414096 = 211923^2 + 282564^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 124753772025 - 2¹⁹ = 124753247737 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 747028492 + ... + 747028658.

Almost surely, 2^124753772025 is an apocalyptic number.

124753772025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

124753772025 is the 353205-th square number.

124753772025 is the 176603-rd centered octagonal number.

It is an amenable number.

124753772025 is a deficient number, since it is larger than the sum of its proper divisors (112776986374).

124753772025 is an frugal number, since it uses more digits than its factorization.

124753772025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The spelling of 124753772025 in words is "one hundred twenty-four billion, seven hundred fifty-three million, seven hundred seventy-two thousand, twenty-five".