135012272742 has 80 divisors (see below), whose sum is σ = 311482366272. Its totient is φ = 43683131520.

The previous prime is 135012272711. The next prime is 135012272807. The reversal of 135012272742 is 247272210531.

135012272742 is a `hidden beast` number, since 1 + 350 + 12 + 27 + 274 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 135012272697 and 135012272706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1256883 + ... + 1360065.

Almost surely, 2^135012272742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135012272742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155741183136).

135012272742 is an abundant number, since it is smaller than the sum of its proper divisors (176470093530).

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

135012272742 is a wasteful number, since it uses less digits than its factorization.

135012272742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103435 (or 103426 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 135012272742 in words is "one hundred thirty-five billion, twelve million, two hundred seventy-two thousand, seven hundred forty-two".