126341645625 has 60 divisors (see below), whose sum is σ = 245585840500. Its totient is φ = 62198928000.

The previous prime is 126341645609. The next prime is 126341645669. The reversal of 126341645625 is 526546143621.

126341645625 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 4 + 16 + 4 + 5 + 625 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 118834636176 + 7507009449 = 344724^2 + 86643^2 .

It is not a de Polignac number, because 126341645625 - 2⁴ = 126341645609 is a prime.

It is a super-2 number, since 2×126341645625² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 790750 + ... + 936999.

Almost surely, 2^126341645625 is an apocalyptic number.

126341645625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

126341645625 is a deficient number, since it is larger than the sum of its proper divisors (119244194875).

126341645625 is a wasteful number, since it uses less digits than its factorization.

126341645625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1727788 (or 1727770 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 126341645625 in words is "one hundred twenty-six billion, three hundred forty-one million, six hundred forty-five thousand, six hundred twenty-five".