125738323216 has 45 divisors (see below), whose sum is σ = 267811695543. Its totient is φ = 57146691360.

The previous prime is 125738323189. The next prime is 125738323219. The reversal of 125738323216 is 612323837521.

The square root of 125738323216 is 354596.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125738323219) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15598195 + ... + 15606253.

Almost surely, 2^125738323216 is an apocalyptic number.

125738323216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

125738323216 is the 354596-th square number.

It is an amenable number.

125738323216 is an abundant number, since it is smaller than the sum of its proper divisors (142073372327).

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

125738323216 is an frugal number, since it uses more digits than its factorization.

125738323216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16148 (or 8072 counting only the distinct ones).

The product of its digits is 362880, while the sum is 43.

The spelling of 125738323216 in words is "one hundred twenty-five billion, seven hundred thirty-eight million, three hundred twenty-three thousand, two hundred sixteen".