134814719229760 has 224 divisors, whose sum is σ = 323068435448832. Its totient is φ = 53584520478720.

The previous prime is 134814719229709. The next prime is 134814719229811. The reversal of 134814719229760 is 67922917418431.

It is an interprime number because it is at equal distance from previous prime (134814719229709) and next prime (134814719229811).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 134814719229692 and 134814719229701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44774066655 + ... + 44774069665.

Almost surely, 2^{134814719229760} is an apocalyptic number.

134814719229760 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 134814719229760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161534217724416).

134814719229760 is an abundant number, since it is smaller than the sum of its proper divisors (188253716219072).

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

134814719229760 is a wasteful number, since it uses less digits than its factorization.

134814719229760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4641 (or 4631 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 64.

The spelling of 134814719229760 in words is "one hundred thirty-four trillion, eight hundred fourteen billion, seven hundred nineteen million, two hundred twenty-nine thousand, seven hundred sixty".