125140026401 has 48 divisors (see below), whose sum is σ = 145603584000. Its totient is φ = 107180775936.

The previous prime is 125140026397. The next prime is 125140026419. The reversal of 125140026401 is 104620041521.

It is not a de Polignac number, because 125140026401 - 2² = 125140026397 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125140026421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34924256 + ... + 34927838.

It is an arithmetic number, because the mean of its divisors is an integer number (3033408000).

Almost surely, 2^125140026401 is an apocalyptic number.

It is an amenable number.

125140026401 is a deficient number, since it is larger than the sum of its proper divisors (20463557599).

125140026401 is a wasteful number, since it uses less digits than its factorization.

125140026401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3850 (or 3837 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 125140026401 its reverse (104620041521), we get a palindrome (229760067922).

The spelling of 125140026401 in words is "one hundred twenty-five billion, one hundred forty million, twenty-six thousand, four hundred one".