134811420113664 has 432 divisors, whose sum is σ = 447924739691520. Its totient is φ = 38197700444160.

The previous prime is 134811420113653. The next prime is 134811420113693. The reversal of 134811420113664 is 466311024118431.

134811420113664 is a `hidden beast` number, since 1 + 3 + 4 + 81 + 1 + 4 + 201 + 1 + 366 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1059433084 + ... + 1059560324.

It is an arithmetic number, because the mean of its divisors is an integer number (1036862823360).

Almost surely, 2^{134811420113664} is an apocalyptic number.

134811420113664 is a gapful number since it is divisible by the number (14) 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 134811420113664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223962369845760).

134811420113664 is an abundant number, since it is smaller than the sum of its proper divisors (313113319577856).

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

134811420113664 is a wasteful number, since it uses less digits than its factorization.

134811420113664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127816 (or 127799 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 134811420113664 in words is "one hundred thirty-four trillion, eight hundred eleven billion, four hundred twenty million, one hundred thirteen thousand, six hundred sixty-four".