125742582250000 has 315 divisors, whose sum is σ = 312709291039371. Its totient is φ = 48980568000000.

The previous prime is 125742582249989. The next prime is 125742582250007. The reversal of 125742582250000 is 52285247521.

The square root of 125742582250000 is 11213500.

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

It can be written as a sum of positive squares in 10 ways, for example, as 37882104664336 + 87860477585664 = 6154844^2 + 9373392^2 .

It is a super-2 number, since 2×125742582250000² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125742582250007) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 229876749727 + ... + 229876750273.

Almost surely, 2^{125742582250000} is an apocalyptic number.

125742582250000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

125742582250000 is the 11213500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125742582250000

125742582250000 is an abundant number, since it is smaller than the sum of its proper divisors (186966708789371).

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

125742582250000 is an frugal number, since it uses more digits than its factorization.

125742582250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 43.

The spelling of 125742582250000 in words is "one hundred twenty-five trillion, seven hundred forty-two billion, five hundred eighty-two million, two hundred fifty thousand".