125761125500 has 96 divisors (see below), whose sum is σ = 288329932800. Its totient is φ = 47856264000.

The previous prime is 125761125493. The next prime is 125761125613. The reversal of 125761125500 is 5521167521.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 845741 + ... + 983259.

It is an arithmetic number, because the mean of its divisors is an integer number (3003436800).

Almost surely, 2^125761125500 is an apocalyptic number.

125761125500 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 125761125500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144164966400).

125761125500 is an abundant number, since it is smaller than the sum of its proper divisors (162568807300).

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

125761125500 is a wasteful number, since it uses less digits than its factorization.

125761125500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137628 (or 137616 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 35.

The spelling of 125761125500 in words is "one hundred twenty-five billion, seven hundred sixty-one million, one hundred twenty-five thousand, five hundred".