134413505053542 has 256 divisors, whose sum is σ = 369479190528000. Its totient is φ = 35610312528000.

The previous prime is 134413505053537. The next prime is 134413505053547. The reversal of 134413505053542 is 245350505314431.

134413505053542 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 1 + 3 + 5 + 0 + 50 + 53 + 542 = 666.

134413505053542 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (134413505053537) and next prime (134413505053547).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134413505053547) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 589545667 + ... + 589773617.

It is an arithmetic number, because the mean of its divisors is an integer number (1443278088000).

Almost surely, 2^{134413505053542} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134413505053542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184739595264000).

134413505053542 is an abundant number, since it is smaller than the sum of its proper divisors (235065685474458).

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

134413505053542 is a wasteful number, since it uses less digits than its factorization.

134413505053542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232024 (or 232018 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

The spelling of 134413505053542 in words is "one hundred thirty-four trillion, four hundred thirteen billion, five hundred five million, fifty-three thousand, five hundred forty-two".