134004102144 has 176 divisors, whose sum is σ = 390264578496. Its totient is φ = 40542208000.

The previous prime is 134004102121. The next prime is 134004102173. The reversal of 134004102144 is 441201400431.

134004102144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent 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, 23685364 + ... + 23691020.

Almost surely, 2^134004102144 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 134004102144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195132289248).

134004102144 is an abundant number, since it is smaller than the sum of its proper divisors (256260476352).

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

134004102144 is a wasteful number, since it uses less digits than its factorization.

134004102144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6392 (or 6374 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 134004102144 its reverse (441201400431), we get a palindrome (575205502575).

The spelling of 134004102144 in words is "one hundred thirty-four billion, four million, one hundred two thousand, one hundred forty-four".