125325066240 has 1200 divisors, whose sum is σ = 524115766944. Its totient is φ = 28311552000.

The previous prime is 125325066227. The next prime is 125325066271. The reversal of 125325066240 is 42660523521.

125325066240 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 25 + 0 + 6 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 125325066195 and 125325066204.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1240842190 + ... + 1240842290.

Almost surely, 2^125325066240 is an apocalyptic number.

125325066240 is a gapful number since it is divisible by the number (10) 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 125325066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262057883472).

125325066240 is an abundant number, since it is smaller than the sum of its proper divisors (398790700704).

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

125325066240 is a wasteful number, since it uses less digits than its factorization.

125325066240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 125325066240 its reverse (42660523521), we get a palindrome (167985589761).

The spelling of 125325066240 in words is "one hundred twenty-five billion, three hundred twenty-five million, sixty-six thousand, two hundred forty".