134511222240000 has 720 divisors, whose sum is σ = 497958867030240. Its totient is φ = 35804620800000.

The previous prime is 134511222239963. The next prime is 134511222240011. The reversal of 134511222240000 is 42222115431.

134511222240000 is a `hidden beast` number, since 1 + 34 + 5 + 1 + 1 + 2 + 222 + 400 + 0 + 0 = 666.

134511222240000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2406212050 + ... + 2406267950.

It is an arithmetic number, because the mean of its divisors is an integer number (691609537542).

Almost surely, 2^{134511222240000} is an apocalyptic number.

134511222240000 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 134511222240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248979433515120).

134511222240000 is an abundant number, since it is smaller than the sum of its proper divisors (363447644790240).

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

134511222240000 is an frugal number, since it uses more digits than its factorization.

134511222240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56503 (or 56468 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 134511222240000 its reverse (42222115431), we get a palindrome (134553444355431).

The spelling of 134511222240000 in words is "one hundred thirty-four trillion, five hundred eleven billion, two hundred twenty-two million, two hundred forty thousand".