273125460135 has 128 divisors (see below), whose sum is σ = 501617525760. Its totient is φ = 125825441280.

The previous prime is 273125460119. The next prime is 273125460137. The reversal of 273125460135 is 531064521372.

It is not a de Polignac number, because 273125460135 - 2⁴ = 273125460119 is a prime.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 273125460093 and 273125460102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (273125460137) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 269619889 + ... + 269620901.

It is an arithmetic number, because the mean of its divisors is an integer number (3918886920).

Almost surely, 2^273125460135 is an apocalyptic number.

273125460135 is a deficient number, since it is larger than the sum of its proper divisors (228492065625).

273125460135 is a wasteful number, since it uses less digits than its factorization.

273125460135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The spelling of 273125460135 in words is "two hundred seventy-three billion, one hundred twenty-five million, four hundred sixty thousand, one hundred thirty-five".