134520967987200 has 2142 divisors, whose sum is σ = 520334543986652. Its totient is φ = 34474976870400.

The previous prime is 134520967987169. The next prime is 134520967987223. The reversal of 134520967987200 is 2789769025431.

134520967987200 is a `hidden beast` number, since 1 + 3 + 4 + 520 + 9 + 6 + 7 + 9 + 87 + 20 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 2007775641567 + ... + 2007775641633.

It is a 1-persistent number, because it is pandigital, but 2⋅134520967987200 = 269041935974400 is not.

Almost surely, 2^{134520967987200} is an apocalyptic number.

134520967987200 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 134520967987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260167271993326).

134520967987200 is an abundant number, since it is smaller than the sum of its proper divisors (385813575999452).

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

134520967987200 is an frugal number, since it uses more digits than its factorization.

134520967987200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 134520967987200 in words is "one hundred thirty-four trillion, five hundred twenty billion, nine hundred sixty-seven million, nine hundred eighty-seven thousand, two hundred".