134640000000000 has 1848 divisors, whose sum is σ = 561565711155384. Its totient is φ = 30720000000000.

The previous prime is 134639999999951. The next prime is 134640000000029. The reversal of 134640000000000 is 46431.

134640000000000 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-3 number, since 3×134640000000000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 131 ways as a sum of consecutive naturals, for example, 7919999999992 + ... + 7920000000008.

Almost surely, 2^{134640000000000} is an apocalyptic number.

134640000000000 is a gapful number since it is divisible by the number (10) 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 134640000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280782855577692).

134640000000000 is an abundant number, since it is smaller than the sum of its proper divisors (426925711155384).

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

134640000000000 is an frugal number, since it uses more digits than its factorization.

134640000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 134640000000000 its reverse (46431), we get a palindrome (134640000046431).

The spelling of 134640000000000 in words is "one hundred thirty-four trillion, six hundred forty billion", and thus it is an aban number.