134946445544064 has 2304 divisors, whose sum is σ = 538738700572800. Its totient is φ = 33197493288960.

The previous prime is 134946445544059. The next prime is 134946445544069. The reversal of 134946445544064 is 460445544649431.

134946445544064 is a `hidden beast` number, since 1 + 3 + 4 + 9 + 46 + 4 + 45 + 544 + 0 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (134946445544059) and next prime (134946445544069).

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 = 134946445543992 and 134946445544010.

It is not an unprimeable number, because it can be changed into a prime (134946445544069) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 25767888454 + ... + 25767893690.

Almost surely, 2^{134946445544064} is an apocalyptic number.

134946445544064 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 134946445544064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269369350286400).

134946445544064 is an abundant number, since it is smaller than the sum of its proper divisors (403792255028736).

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

134946445544064 is a wasteful number, since it uses less digits than its factorization.

134946445544064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5373 (or 5342 counting only the distinct ones).

The product of its (nonzero) digits is 398131200, while the sum is 63.

The spelling of 134946445544064 in words is "one hundred thirty-four trillion, nine hundred forty-six billion, four hundred forty-five million, five hundred forty-four thousand, sixty-four".