134936945638144 has 144 divisors (see below), whose sum is σ = 294997022568640. Its totient is φ = 61228331827200.

The previous prime is 134936945638141. The next prime is 134936945638151. The reversal of 134936945638144 is 441836549639431.

It is not an unprimeable number, because it can be changed into a prime (134936945638141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47361112 + ... + 50129320.

Almost surely, 2^{134936945638144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134936945638144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147498511284320).

134936945638144 is an abundant number, since it is smaller than the sum of its proper divisors (160060076930496).

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

134936945638144 is a wasteful number, since it uses less digits than its factorization.

134936945638144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2768486 (or 2768472 counting only the distinct ones).

The product of its digits is 806215680, while the sum is 70.

The spelling of 134936945638144 in words is "one hundred thirty-four trillion, nine hundred thirty-six billion, nine hundred forty-five million, six hundred thirty-eight thousand, one hundred forty-four".