134568954224640 has 672 divisors, whose sum is σ = 504577217997216. Its totient is φ = 32978475417600.

The previous prime is 134568954224569. The next prime is 134568954224669. The reversal of 134568954224640 is 46422459865431.

134568954224640 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 6 + 8 + 9 + 542 + 2 + 46 + 40 = 666.

It is a super-2 number, since 2×134568954224640² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 1087794790 + ... + 1087918490.

It is an arithmetic number, because the mean of its divisors is an integer number (750858955353).

Almost surely, 2^{134568954224640} is an apocalyptic number.

134568954224640 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 134568954224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252288608998608).

134568954224640 is an abundant number, since it is smaller than the sum of its proper divisors (370008263772576).

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

134568954224640 is a wasteful number, since it uses less digits than its factorization.

134568954224640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123978 (or 123951 counting only the distinct ones).

The product of its (nonzero) digits is 199065600, while the sum is 63.

The spelling of 134568954224640 in words is "one hundred thirty-four trillion, five hundred sixty-eight billion, nine hundred fifty-four million, two hundred twenty-four thousand, six hundred forty".