134501605056 has 448 divisors, whose sum is σ = 507830937600. Its totient is φ = 33929736192.

The previous prime is 134501605009. The next prime is 134501605097. The reversal of 134501605056 is 650506105431.

134501605056 is a `hidden beast` number, since 1 + 3 + 45 + 0 + 1 + 605 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 134501605056.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3598110 + ... + 3635298.

It is an arithmetic number, because the mean of its divisors is an integer number (1133551200).

Almost surely, 2^134501605056 is an apocalyptic number.

134501605056 is a gapful number since it is divisible by the number (16) 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 134501605056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253915468800).

134501605056 is an abundant number, since it is smaller than the sum of its proper divisors (373329332544).

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

134501605056 is a wasteful number, since it uses less digits than its factorization.

134501605056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37253 (or 37237 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 134501605056 in words is "one hundred thirty-four billion, five hundred one million, six hundred five thousand, fifty-six".