125465210500 has 144 divisors (see below), whose sum is σ = 337504645296. Its totient is φ = 40486118400.

The previous prime is 125465210447. The next prime is 125465210509. The reversal of 125465210500 is 5012564521.

It can be written as a sum of positive squares in 8 ways, for example, as 63949305924 + 61515904576 = 252882^2 + 248024^2 .

It is not an unprimeable number, because it can be changed into a prime (125465210509) 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 47 ways as a sum of consecutive naturals, for example, 265882 + ... + 567118.

It is an arithmetic number, because the mean of its divisors is an integer number (2343782259).

Almost surely, 2^125465210500 is an apocalyptic number.

125465210500 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 125465210500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168752322648).

125465210500 is an abundant number, since it is smaller than the sum of its proper divisors (212039434796).

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

125465210500 is a wasteful number, since it uses less digits than its factorization.

125465210500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301287 (or 301268 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

The spelling of 125465210500 in words is "one hundred twenty-five billion, four hundred sixty-five million, two hundred ten thousand, five hundred".