134551828172160 has 1152 divisors, whose sum is σ = 541326400392960. Its totient is φ = 30163579453440.

The previous prime is 134551828172159. The next prime is 134551828172207. The reversal of 134551828172160 is 61271828155431.

134551828172160 is a `hidden beast` number, since 1 + 3 + 4 + 551 + 8 + 2 + 8 + 1 + 7 + 21 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 134551828172097 and 134551828172106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 74296977655 + ... + 74296979465.

It is an arithmetic number, because the mean of its divisors is an integer number (469901389230).

Almost surely, 2^{134551828172160} is an apocalyptic number.

134551828172160 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 134551828172160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270663200196480).

134551828172160 is an abundant number, since it is smaller than the sum of its proper divisors (406774572220800).

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

134551828172160 is a wasteful number, since it uses less digits than its factorization.

134551828172160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2224 (or 2060 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 134551828172160 in words is "one hundred thirty-four trillion, five hundred fifty-one billion, eight hundred twenty-eight million, one hundred seventy-two thousand, one hundred sixty".