134504040105414 has 192 divisors, whose sum is σ = 354852530173440. Its totient is φ = 35943441914880.

The previous prime is 134504040105371. The next prime is 134504040105419. The reversal of 134504040105414 is 414501040405431.

134504040105414 is a `hidden beast` number, since 1 + 3 + 4 + 504 + 0 + 4 + 0 + 105 + 41 + 4 = 666.

It is a super-2 number, since 2×134504040105414² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134504040105419) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 586898392 + ... + 587127524.

It is an arithmetic number, because the mean of its divisors is an integer number (1848190261320).

Almost surely, 2^{134504040105414} is an apocalyptic number.

134504040105414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 134504040105414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177426265086720).

134504040105414 is an abundant number, since it is smaller than the sum of its proper divisors (220348490068026).

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

134504040105414 is a wasteful number, since it uses less digits than its factorization.

134504040105414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230875 (or 230872 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 134504040105414 in words is "one hundred thirty-four trillion, five hundred four billion, forty million, one hundred five thousand, four hundred fourteen".