134646578552000 has 224 divisors, whose sum is σ = 335046908589120. Its totient is φ = 53601408000000.

The previous prime is 134646578551909. The next prime is 134646578552021. The reversal of 134646578552000 is 255875646431.

It is a super-2 number, since 2×134646578552000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2588285990 + ... + 2588338010.

It is an arithmetic number, because the mean of its divisors is an integer number (1495745127630).

Almost surely, 2^{134646578552000} is an apocalyptic number.

134646578552000 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 134646578552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167523454294560).

134646578552000 is an abundant number, since it is smaller than the sum of its proper divisors (200400330037120).

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

134646578552000 is a wasteful number, since it uses less digits than its factorization.

134646578552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53588 (or 53568 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 56.

The spelling of 134646578552000 in words is "one hundred thirty-four trillion, six hundred forty-six billion, five hundred seventy-eight million, five hundred fifty-two thousand".