134814710664 has 256 divisors, whose sum is σ = 392037408000. Its totient is φ = 43432070400.

The previous prime is 134814710629. The next prime is 134814710689. The reversal of 134814710664 is 466017418431.

134814710664 is a `hidden beast` number, since 1 + 3 + 481 + 4 + 7 + 106 + 64 = 666.

It is a super-2 number, since 2×134814710664² (a number of 23 digits) contains 22 as substring.

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, 62967034 + ... + 62969174.

It is an arithmetic number, because the mean of its divisors is an integer number (1531396125).

Almost surely, 2^134814710664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134814710664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196018704000).

134814710664 is an abundant number, since it is smaller than the sum of its proper divisors (257222697336).

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

134814710664 is an equidigital number, since it uses as much as digits as its factorization.

134814710664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2288 (or 2266 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 134814710664 in words is "one hundred thirty-four billion, eight hundred fourteen million, seven hundred ten thousand, six hundred sixty-four".