125436603240 has 640 divisors, whose sum is σ = 496341457920. Its totient is φ = 28118016000.

The previous prime is 125436603151. The next prime is 125436603241. The reversal of 125436603240 is 42306634521.

125436603240 is a `hidden beast` number, since 1 + 2 + 5 + 4 + 3 + 6 + 603 + 2 + 40 = 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 = 125436603195 and 125436603204.

It is not an unprimeable number, because it can be changed into a prime (125436603241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 22194415 + ... + 22200065.

It is an arithmetic number, because the mean of its divisors is an integer number (775533528).

Almost surely, 2^125436603240 is an apocalyptic number.

125436603240 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 125436603240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248170728960).

125436603240 is an abundant number, since it is smaller than the sum of its proper divisors (370904854680).

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

125436603240 is a wasteful number, since it uses less digits than its factorization.

125436603240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5735 (or 5722 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 125436603240 in words is "one hundred twenty-five billion, four hundred thirty-six million, six hundred three thousand, two hundred forty".