125985243136 has 135 divisors (see below), whose sum is σ = 261875076379. Its totient is φ = 60607397888.

The previous prime is 125985243119. The next prime is 125985243143. The reversal of 125985243136 is 631342589521.

The square root of 125985243136 is 354944.

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

It is a super-2 number, since 2×125985243136² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

Its product of digits (1555200) is a multiple of the sum of its prime divisors (108).

It is a self number, because there is not a number n which added to its sum of digits gives 125985243136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2135343075 + ... + 2135343133.

Almost surely, 2^125985243136 is an apocalyptic number.

125985243136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

125985243136 is the 354944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125985243136

125985243136 is an abundant number, since it is smaller than the sum of its proper divisors (135889833243).

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

125985243136 is an frugal number, since it uses more digits than its factorization.

125985243136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 108 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 49.

Multiplying 125985243136 by its sum of digits (49), we get a square (6173276913664 = 2484608²).

The spelling of 125985243136 in words is "one hundred twenty-five billion, nine hundred eighty-five million, two hundred forty-three thousand, one hundred thirty-six".