134442492961344 has 448 divisors, whose sum is σ = 396059300904960. Its totient is φ = 40057772451840.

The previous prime is 134442492961289. The next prime is 134442492961349. The reversal of 134442492961344 is 443169294244431.

134442492961344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×134442492961344² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (134442492961349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1835531187 + ... + 1835604429.

It is an arithmetic number, because the mean of its divisors is an integer number (884060939520).

Almost surely, 2^{134442492961344} 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 134442492961344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198029650452480).

134442492961344 is an abundant number, since it is smaller than the sum of its proper divisors (261616807943616).

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

134442492961344 is a wasteful number, since it uses less digits than its factorization.

134442492961344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73598 (or 73588 counting only the distinct ones).

The product of its digits is 71663616, while the sum is 60.

The spelling of 134442492961344 in words is "one hundred thirty-four trillion, four hundred forty-two billion, four hundred ninety-two million, nine hundred sixty-one thousand, three hundred forty-four".