134717364144 has 480 divisors, whose sum is σ = 456070238208. Its totient is φ = 36642816000.

The previous prime is 134717364137. The next prime is 134717364163. The reversal of 134717364144 is 441463717431.

It is a happy number.

134717364144 is a `hidden beast` number, since 1 + 3 + 471 + 7 + 36 + 4 + 144 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 134717364144.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59267392 + ... + 59269664.

Almost surely, 2^134717364144 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 134717364144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228035119104).

134717364144 is an abundant number, since it is smaller than the sum of its proper divisors (321352874064).

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

134717364144 is a wasteful number, since it uses less digits than its factorization.

134717364144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2417 (or 2408 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The spelling of 134717364144 in words is "one hundred thirty-four billion, seven hundred seventeen million, three hundred sixty-four thousand, one hundred forty-four".