135420000542541 has 96 divisors (see below), whose sum is σ = 235482900516864. Its totient is φ = 73888322688000.

The previous prime is 135420000542521. The next prime is 135420000542653. The reversal of 135420000542541 is 145245000024531.

135420000542541 is a `hidden beast` number, since 1 + 3 + 54 + 20 + 0 + 0 + 0 + 5 + 42 + 541 = 666.

It is not a de Polignac number, because 135420000542541 - 2¹³ = 135420000534349 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 135420000542496 and 135420000542505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135420000542521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 167448436 + ... + 168255218.

It is an arithmetic number, because the mean of its divisors is an integer number (2452946880384).

Almost surely, 2^{135420000542541} is an apocalyptic number.

135420000542541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

135420000542541 is a deficient number, since it is larger than the sum of its proper divisors (100062899974323).

135420000542541 is a wasteful number, since it uses less digits than its factorization.

135420000542541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810035 (or 810032 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 135420000542541 in words is "one hundred thirty-five trillion, four hundred twenty billion, five hundred forty-two thousand, five hundred forty-one".