135115538314416 has 80 divisors (see below), whose sum is σ = 380787654244608. Its totient is φ = 40943295980800.

The previous prime is 135115538314399. The next prime is 135115538314469. The reversal of 135115538314416 is 614413835511531.

It is a happy 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, 24584746 + ... + 29574326.

Almost surely, 2^{135115538314416} is an apocalyptic number.

135115538314416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135115538314416 is an abundant number, since it is smaller than the sum of its proper divisors (245672115930192).

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

135115538314416 is a wasteful number, since it uses less digits than its factorization.

135115538314416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5040890 (or 5040884 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 51.

The spelling of 135115538314416 in words is "one hundred thirty-five trillion, one hundred fifteen billion, five hundred thirty-eight million, three hundred fourteen thousand, four hundred sixteen".