134481009715200 has 2880 divisors, whose sum is σ = 538444728581760. Its totient is φ = 33089126400000.

The previous prime is 134481009715133. The next prime is 134481009715207. The reversal of 134481009715200 is 2517900184431.

134481009715200 is a `hidden beast` number, since 1 + 3 + 4 + 48 + 10 + 0 + 9 + 71 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×134481009715200² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (134481009715207) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 535780915075 + ... + 535780915325.

It is an arithmetic number, because the mean of its divisors is an integer number (186959975202).

Almost surely, 2^{134481009715200} is an apocalyptic number.

134481009715200 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 134481009715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269222364290880).

134481009715200 is an abundant number, since it is smaller than the sum of its proper divisors (403963718866560).

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

134481009715200 is a wasteful number, since it uses less digits than its factorization.

134481009715200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

Adding to 134481009715200 its reverse (2517900184431), we get a palindrome (136998909899631).

The spelling of 134481009715200 in words is "one hundred thirty-four trillion, four hundred eighty-one billion, nine million, seven hundred fifteen thousand, two hundred".