134320784004 has 189 divisors, whose sum is σ = 388011520981. Its totient is φ = 40637298240.

The previous prime is 134320783973. The next prime is 134320784051. The reversal of 134320784004 is 400487023431.

The square root of 134320784004 is 366498.

It is a perfect power (a square), and thus also a powerful number.

134320784004 is a `hidden beast` number, since 1 + 3 + 43 + 207 + 8 + 400 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3890016900 + 130430767104 = 62370^2 + 361152^2 .

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 134320784004.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 217699504 + ... + 217700120.

Almost surely, 2^134320784004 is an apocalyptic number.

134320784004 is the 366498-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134320784004

134320784004 is an abundant number, since it is smaller than the sum of its proper divisors (253690736977).

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

134320784004 is an frugal number, since it uses more digits than its factorization.

134320784004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

Multiplying 134320784004 by its sum of digits (36), we get a square (4835548224144 = 2198988²).

134320784004 divided by its sum of digits (36) gives a square (3731132889 = 61083²).

The spelling of 134320784004 in words is "one hundred thirty-four billion, three hundred twenty million, seven hundred eighty-four thousand, four".