134391409145856 has 576 divisors, whose sum is σ = 407758662904320. Its totient is φ = 42560888832000.

The previous prime is 134391409145827. The next prime is 134391409145857. The reversal of 134391409145856 is 658541904193431.

134391409145856 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 9 + 1 + 40 + 9 + 1 + 4 + 585 + 6 = 666.

134391409145856 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×134391409145856² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 134391409145793 and 134391409145802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134391409145857) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56443261786 + ... + 56443264166.

It is an arithmetic number, because the mean of its divisors is an integer number (707914345320).

Almost surely, 2^{134391409145856} is an apocalyptic number.

134391409145856 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 134391409145856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203879331452160).

134391409145856 is an abundant number, since it is smaller than the sum of its proper divisors (273367253758464).

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

134391409145856 is a wasteful number, since it uses less digits than its factorization.

134391409145856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3274 (or 3251 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 134391409145856 in words is "one hundred thirty-four trillion, three hundred ninety-one billion, four hundred nine million, one hundred forty-five thousand, eight hundred fifty-six".