125126610660 has 144 divisors (see below), whose sum is σ = 396526306176. Its totient is φ = 31878206976.

The previous prime is 125126610647. The next prime is 125126610667. The reversal of 125126610660 is 66016621521.

125126610660 is a `hidden beast` number, since 1 + 25 + 12 + 6 + 610 + 6 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (125126610667) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3530347 + ... + 3565613.

It is an arithmetic number, because the mean of its divisors is an integer number (2753654904).

Almost surely, 2^125126610660 is an apocalyptic number.

125126610660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125126610660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198263153088).

125126610660 is an abundant number, since it is smaller than the sum of its proper divisors (271399695516).

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

125126610660 is a wasteful number, since it uses less digits than its factorization.

125126610660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36162 (or 36157 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 125126610660 in words is "one hundred twenty-five billion, one hundred twenty-six million, six hundred ten thousand, six hundred sixty".