134653391425152 has 512 divisors, whose sum is σ = 405879268224000. Its totient is φ = 43938324578304.

The previous prime is 134653391425129. The next prime is 134653391425183. The reversal of 134653391425152 is 251524193356431.

It is a happy number.

134653391425152 is a `hidden beast` number, since 1 + 3 + 4 + 6 + 5 + 33 + 91 + 4 + 2 + 515 + 2 = 666.

134653391425152 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56363913174 + ... + 56363915562.

It is an arithmetic number, because the mean of its divisors is an integer number (792732945750).

Almost surely, 2^{134653391425152} is an apocalyptic number.

134653391425152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134653391425152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202939634112000).

134653391425152 is an abundant number, since it is smaller than the sum of its proper divisors (271225876798848).

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

134653391425152 is a wasteful number, since it uses less digits than its factorization.

134653391425152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4065 (or 4047 counting only the distinct ones).

The product of its digits is 11664000, while the sum is 54.

The spelling of 134653391425152 in words is "one hundred thirty-four trillion, six hundred fifty-three billion, three hundred ninety-one million, four hundred twenty-five thousand, one hundred fifty-two".