135125305225031 has 12 divisors (see below), whose sum is σ = 148556246892816. Its totient is φ = 122816304277920.

The previous prime is 135125305225007. The next prime is 135125305225039. The reversal of 135125305225031 is 130522503521531.

It is not a de Polignac number, because 135125305225031 - 2³⁰ = 135124231483207 is a prime.

It is a super-2 number, since 2×135125305225031² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135125305225039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112501475 + ... + 113696228.

It is an arithmetic number, because the mean of its divisors is an integer number (12379687241068).

Almost surely, 2^{135125305225031} is an apocalyptic number.

135125305225031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135125305225031 is a deficient number, since it is larger than the sum of its proper divisors (13430941667785).

135125305225031 is a wasteful number, since it uses less digits than its factorization.

135125305225031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226202662 (or 226202651 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 38.

Adding to 135125305225031 its reverse (130522503521531), we get a palindrome (265647808746562).

The spelling of 135125305225031 in words is "one hundred thirty-five trillion, one hundred twenty-five billion, three hundred five million, two hundred twenty-five thousand, thirty-one".