135253051461 has 48 divisors (see below), whose sum is σ = 214494179328. Its totient is φ = 81446467200.

The previous prime is 135253051403. The next prime is 135253051463. The reversal of 135253051461 is 164150352531.

135253051461 is a `hidden beast` number, since 1 + 3 + 52 + 5 + 30 + 514 + 61 = 666.

It is not a de Polignac number, because 135253051461 - 2⁶ = 135253051397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135253051463) 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, 16007740 + ... + 16016186.

It is an arithmetic number, because the mean of its divisors is an integer number (4468628736).

Almost surely, 2^135253051461 is an apocalyptic number.

135253051461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

135253051461 is a deficient number, since it is larger than the sum of its proper divisors (79241127867).

135253051461 is a wasteful number, since it uses less digits than its factorization.

135253051461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9482 (or 9479 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 135253051461 in words is "one hundred thirty-five billion, two hundred fifty-three million, fifty-one thousand, four hundred sixty-one".