125901135700 has 36 divisors (see below), whose sum is σ = 274731791040. Its totient is φ = 50079103840.

The previous prime is 125901135653. The next prime is 125901135709. The reversal of 125901135700 is 7531109521.

125901135700 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125901135709) 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 11 ways as a sum of consecutive naturals, for example, 3498892 + ... + 3534691.

It is an arithmetic number, because the mean of its divisors is an integer number (7631438640).

Almost surely, 2^125901135700 is an apocalyptic number.

125901135700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125901135700 is an abundant number, since it is smaller than the sum of its proper divisors (148830655340).

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

125901135700 is a wasteful number, since it uses less digits than its factorization.

125901135700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7033776 (or 7033769 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 34.

The spelling of 125901135700 in words is "one hundred twenty-five billion, nine hundred one million, one hundred thirty-five thousand, seven hundred".