134293530438144 has 3200 divisors, whose sum is σ = 541358636544000. Its totient is φ = 32907305410560.

The previous prime is 134293530438143. The next prime is 134293530438157. The reversal of 134293530438144 is 441834035392431.

134293530438144 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 9 + 35 + 30 + 438 + 144 = 666.

It is a super-2 number, since 2×134293530438144² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134293530438143) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 561897616777 + ... + 561897617015.

It is an arithmetic number, because the mean of its divisors is an integer number (169174573920).

Almost surely, 2^{134293530438144} is an apocalyptic number.

134293530438144 is a gapful number since it is divisible by the number (14) 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 134293530438144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270679318272000).

134293530438144 is an abundant number, since it is smaller than the sum of its proper divisors (407065106105856).

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

134293530438144 is an frugal number, since it uses more digits than its factorization.

134293530438144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 134293530438144 in words is "one hundred thirty-four trillion, two hundred ninety-three billion, five hundred thirty million, four hundred thirty-eight thousand, one hundred forty-four".