125452723536 has 540 divisors, whose sum is σ = 439247327220. Its totient is φ = 34607647872.

The previous prime is 125452723511. The next prime is 125452723553. The reversal of 125452723536 is 635327254521.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

125452723536 is a `hidden beast` number, since 1 + 2 + 5 + 45 + 2 + 72 + 3 + 536 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21732656400 + 103720067136 = 147420^2 + 322056^2 .

It is a junction number, because it is equal to n+sod(n) for n = 125452723491 and 125452723500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4325955970 + ... + 4325955998.

Almost surely, 2^125452723536 is an apocalyptic number.

125452723536 is a gapful number since it is divisible by the number (16) 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 125452723536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219623663610).

125452723536 is an abundant number, since it is smaller than the sum of its proper divisors (313794603684).

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

125452723536 is an frugal number, since it uses more digits than its factorization.

125452723536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 41 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 45.

The spelling of 125452723536 in words is "one hundred twenty-five billion, four hundred fifty-two million, seven hundred twenty-three thousand, five hundred thirty-six".