135125144501553 has 40 divisors (see below), whose sum is σ = 206773216198560. Its totient is φ = 87910192969920.

The previous prime is 135125144501539. The next prime is 135125144501579. The reversal of 135125144501553 is 355105441521531.

135125144501553 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 2 + 5 + 1 + 44 + 50 + 1 + 553 = 666.

It is not a de Polignac number, because 135125144501553 - 2²⁶ = 135125077392689 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 135125144501499 and 135125144501508.

It is not an unprimeable number, because it can be changed into a prime (135125144502553) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 102537883 + ... + 103847328.

It is an arithmetic number, because the mean of its divisors is an integer number (5169330404964).

Almost surely, 2^{135125144501553} is an apocalyptic number.

It is an amenable number.

135125144501553 is a deficient number, since it is larger than the sum of its proper divisors (71648071697007).

135125144501553 is a wasteful number, since it uses less digits than its factorization.

135125144501553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206385419 (or 206385410 counting only the distinct ones).

The product of its (nonzero) digits is 900000, while the sum is 45.

The spelling of 135125144501553 in words is "one hundred thirty-five trillion, one hundred twenty-five billion, one hundred forty-four million, five hundred one thousand, five hundred fifty-three".