134538144 has 96 divisors (see below), whose sum is σ = 386245440. Its totient is φ = 40753152.

The previous prime is 134538101. The next prime is 134538149. The reversal of 134538144 is 441835431.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134538149) 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, 82812 + ... + 84420.

It is an arithmetic number, because the mean of its divisors is an integer number (4023390).

Almost surely, 2^134538144 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 134538144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193122720).

134538144 is an abundant number, since it is smaller than the sum of its proper divisors (251707296).

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

134538144 is a wasteful number, since it uses less digits than its factorization.

134538144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 1694 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 134538144 is about 11599.0578927773. The cubic root of 134538144 is about 512.4071062251.

The spelling of 134538144 in words is "one hundred thirty-four million, five hundred thirty-eight thousand, one hundred forty-four".