125436010500 has 144 divisors (see below), whose sum is σ = 396239603760. Its totient is φ = 33404736000.

The previous prime is 125436010499. The next prime is 125436010507. The reversal of 125436010500 is 5010634521.

125436010500 is a `hidden beast` number, since 1 + 2 + 5 + 4 + 3 + 601 + 0 + 50 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 52104453696 + 73331556804 = 228264^2 + 270798^2 .

It is a super-2 number, since 2×125436010500² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (125436010507) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3406186 + ... + 3442814.

It is an arithmetic number, because the mean of its divisors is an integer number (2751663915).

Almost surely, 2^125436010500 is an apocalyptic number.

125436010500 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 125436010500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198119801880).

125436010500 is an abundant number, since it is smaller than the sum of its proper divisors (270803593260).

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

125436010500 is a wasteful number, since it uses less digits than its factorization.

125436010500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37415 (or 37400 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 125436010500 in words is "one hundred twenty-five billion, four hundred thirty-six million, ten thousand, five hundred".