134427732336480 has 384 divisors, whose sum is σ = 475943464797696. Its totient is φ = 31606452633600.

The previous prime is 134427732336461. The next prime is 134427732336529. The reversal of 134427732336480 is 84633237724431.

It is a happy number.

It is a super-2 number, since 2×134427732336480² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 134427732336480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60048475 + ... + 62246885.

It is an arithmetic number, because the mean of its divisors is an integer number (1239436106244).

Almost surely, 2^{134427732336480} is an apocalyptic number.

134427732336480 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 134427732336480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237971732398848).

134427732336480 is an abundant number, since it is smaller than the sum of its proper divisors (341515732461216).

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

134427732336480 is a wasteful number, since it uses less digits than its factorization.

134427732336480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2198790 (or 2198782 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 57.

The spelling of 134427732336480 in words is "one hundred thirty-four trillion, four hundred twenty-seven billion, seven hundred thirty-two million, three hundred thirty-six thousand, four hundred eighty".