125071701134116 has 135 divisors (see below), whose sum is σ = 247642737499395. Its totient is φ = 55269979015680.

The previous prime is 125071701134071. The next prime is 125071701134119. The reversal of 125071701134116 is 611431107170521.

The square root of 125071701134116 is 11183546.

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

It can be written as a sum of positive squares in 4 ways, for example, as 15837932496100 + 109233768638016 = 3979690^2 + 10451496^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125071701134119) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 100137470260 + ... + 100137471508.

Almost surely, 2^{125071701134116} is an apocalyptic number.

125071701134116 is the 11183546-th square number.

It is an amenable number.

125071701134116 is a deficient number, since it is larger than the sum of its proper divisors (122571036365279).

125071701134116 is an frugal number, since it uses more digits than its factorization.

125071701134116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2620 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 40.

The spelling of 125071701134116 in words is "one hundred twenty-five trillion, seventy-one billion, seven hundred one million, one hundred thirty-four thousand, one hundred sixteen".