135461152050144 has 96 divisors (see below), whose sum is σ = 371078045614080. Its totient is φ = 43186754637312.

The previous prime is 135461152050139. The next prime is 135461152050157. The reversal of 135461152050144 is 441050251164531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 135461152050096 and 135461152050105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22770954 + ... + 28096950.

It is an arithmetic number, because the mean of its divisors is an integer number (3865396308480).

Almost surely, 2^{135461152050144} is an apocalyptic number.

It is an amenable number.

135461152050144 is an abundant number, since it is smaller than the sum of its proper divisors (235616893563936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135461152050144 is a wasteful number, since it uses less digits than its factorization.

135461152050144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5337552 (or 5337544 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The spelling of 135461152050144 in words is "one hundred thirty-five trillion, four hundred sixty-one billion, one hundred fifty-two million, fifty thousand, one hundred forty-four".