134768665920 has 896 divisors, whose sum is σ = 539335065600. Its totient is φ = 27819417600.

The previous prime is 134768665919. The next prime is 134768665921. The reversal of 134768665920 is 29566867431.

It is an interprime number because it is at equal distance from previous prime (134768665919) and next prime (134768665921).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134768665921) 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 127 ways as a sum of consecutive naturals, for example, 312688105 + ... + 312688535.

It is a 2-persistent number, because it is pandigital, and so is 2⋅134768665920 = 269537331840, but 3⋅134768665920 = 404305997760 is not.

Almost surely, 2^134768665920 is an apocalyptic number.

134768665920 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 134768665920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269667532800).

134768665920 is an abundant number, since it is smaller than the sum of its proper divisors (404566399680).

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

134768665920 is a wasteful number, since it uses less digits than its factorization.

134768665920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 134768665920 in words is "one hundred thirty-four billion, seven hundred sixty-eight million, six hundred sixty-five thousand, nine hundred twenty".