125344307268 has 72 divisors (see below), whose sum is σ = 330831708480. Its totient is φ = 39963645120.

The previous prime is 125344307203. The next prime is 125344307303. The reversal of 125344307268 is 862703443521.

125344307268 is a `hidden beast` number, since 1 + 2 + 534 + 43 + 0 + 72 + 6 + 8 = 666.

It is a super-2 number, since 2×125344307268² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 449328 + ... + 672743.

It is an arithmetic number, because the mean of its divisors is an integer number (4594884840).

Almost surely, 2^125344307268 is an apocalyptic number.

125344307268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

125344307268 is an abundant number, since it is smaller than the sum of its proper divisors (205487401212).

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

125344307268 is a wasteful number, since it uses less digits than its factorization.

125344307268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122217 (or 1122212 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 125344307268 in words is "one hundred twenty-five billion, three hundred forty-four million, three hundred seven thousand, two hundred sixty-eight".