134165307225600 has 4800 divisors, whose sum is σ = 618875389440000. Its totient is φ = 28626668421120.

The previous prime is 134165307225589. The next prime is 134165307225613. The reversal of 134165307225600 is 6522703561431.

134165307225600 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 6 + 5 + 30 + 7 + 2 + 2 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 384427814226 + ... + 384427814574.

It is an arithmetic number, because the mean of its divisors is an integer number (128932372800).

Almost surely, 2^{134165307225600} is an apocalyptic number.

134165307225600 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 134165307225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309437694720000).

134165307225600 is an abundant number, since it is smaller than the sum of its proper divisors (484710082214400).

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

134165307225600 is an equidigital number, since it uses as much as digits as its factorization.

134165307225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 134165307225600 in words is "one hundred thirty-four trillion, one hundred sixty-five billion, three hundred seven million, two hundred twenty-five thousand, six hundred".