134415718272000 has 8448 divisors, whose sum is σ = 642743274700800. Its totient is φ = 27590492160000.

The previous prime is 134415718271953. The next prime is 134415718272001. The reversal of 134415718272000 is 272817514431.

It is a happy number.

134415718272000 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 1 + 571 + 8 + 2 + 72 + 0 + 0 + 0 = 666.

134415718272000 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 (8448).

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 (134415718272001) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 4335990911985 + ... + 4335990912015.

Almost surely, 2^{134415718272000} is an apocalyptic number.

134415718272000 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 134415718272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321371637350400).

134415718272000 is an abundant number, since it is smaller than the sum of its proper divisors (508327556428800).

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

134415718272000 is a wasteful number, since it uses less digits than its factorization.

134415718272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 134415718272000 in words is "one hundred thirty-four trillion, four hundred fifteen billion, seven hundred eighteen million, two hundred seventy-two thousand".