134391794122656 has 288 divisors, whose sum is σ = 450450027675648. Its totient is φ = 37209371189760.

The previous prime is 134391794122643. The next prime is 134391794122667. The reversal of 134391794122656 is 656221497193431.

134391794122656 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 91 + 79 + 412 + 2 + 65 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×134391794122656² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 134391794122593 and 134391794122602.

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, 4905861 + ... + 17112891.

It is an arithmetic number, because the mean of its divisors is an integer number (1564062596096).

Almost surely, 2^{134391794122656} is an apocalyptic number.

134391794122656 is a gapful number since it is divisible by the number (16) 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 134391794122656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225225013837824).

134391794122656 is an abundant number, since it is smaller than the sum of its proper divisors (316058233552992).

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

134391794122656 is a wasteful number, since it uses less digits than its factorization.

134391794122656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12207224 (or 12207213 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The spelling of 134391794122656 in words is "one hundred thirty-four trillion, three hundred ninety-one billion, seven hundred ninety-four million, one hundred twenty-two thousand, six hundred fifty-six".