134972818095600 has 600 divisors, whose sum is σ = 498433598511552. Its totient is φ = 34963958016000.

The previous prime is 134972818095589. The next prime is 134972818095613. The reversal of 134972818095600 is 6590818279431.

134972818095600 is a `hidden beast` number, since 1 + 3 + 4 + 9 + 7 + 2 + 8 + 18 + 0 + 9 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 173048089 + ... + 173826311.

It is a 1-persistent number, because it is pandigital, but 2⋅134972818095600 = 269945636191200 is not.

Almost surely, 2^{134972818095600} is an apocalyptic number.

134972818095600 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 134972818095600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249216799255776).

134972818095600 is an abundant number, since it is smaller than the sum of its proper divisors (363460780415952).

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

134972818095600 is a wasteful number, since it uses less digits than its factorization.

134972818095600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778407 (or 778387 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 134972818095600 in words is "one hundred thirty-four trillion, nine hundred seventy-two billion, eight hundred eighteen million, ninety-five thousand, six hundred".