125709771460 has 144 divisors (see below), whose sum is σ = 330942882816. Its totient is φ = 39757471488.

The previous prime is 125709771457. The next prime is 125709771461. The reversal of 125709771460 is 64177907521.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (125709771461) 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 47 ways as a sum of consecutive naturals, for example, 26280229 + ... + 26285011.

It is an arithmetic number, because the mean of its divisors is an integer number (2298214464).

Almost surely, 2^125709771460 is an apocalyptic number.

125709771460 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 125709771460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165471441408).

125709771460 is an abundant number, since it is smaller than the sum of its proper divisors (205233111356).

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

125709771460 is a wasteful number, since it uses less digits than its factorization.

125709771460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6882 (or 6873 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 49.

The spelling of 125709771460 in words is "one hundred twenty-five billion, seven hundred nine million, seven hundred seventy-one thousand, four hundred sixty".