134681495404960 has 576 divisors, whose sum is σ = 388353609326592. Its totient is φ = 43926054273024.

The previous prime is 134681495404903. The next prime is 134681495404991. The reversal of 134681495404960 is 69404594186431.

It is a hoax number, since the sum of its digits (64) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 134681495404892 and 134681495404901.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50123368737 + ... + 50123371423.

It is an arithmetic number, because the mean of its divisors is an integer number (674225016192).

Almost surely, 2^{134681495404960} is an apocalyptic number.

134681495404960 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 134681495404960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194176804663296).

134681495404960 is an abundant number, since it is smaller than the sum of its proper divisors (253672113921632).

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

134681495404960 is a wasteful number, since it uses less digits than its factorization.

134681495404960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4165 (or 4150 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 64.

The spelling of 134681495404960 in words is "one hundred thirty-four trillion, six hundred eighty-one billion, four hundred ninety-five million, four hundred four thousand, nine hundred sixty".