134800591104 has 81 divisors (see below), whose sum is σ = 388714155193. Its totient is φ = 44927655936.

The previous prime is 134800591097. The next prime is 134800591147. The reversal of 134800591104 is 401195008431.

The square root of 134800591104 is 367152.

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

134800591104 is a `hidden beast` number, since 13 + 48 + 0 + 0 + 591 + 10 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5890869504 + 128909721600 = 76752^2 + 359040^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17619472 + ... + 17627120.

Almost surely, 2^134800591104 is an apocalyptic number.

134800591104 is the 367152-nd square number.

It is an amenable number.

134800591104 is an abundant number, since it is smaller than the sum of its proper divisors (253913564089).

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

134800591104 is an frugal number, since it uses more digits than its factorization.

134800591104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15320 (or 7654 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Multiplying 134800591104 by its sum of digits (36), we get a square (4852821279744 = 2202912²).

134800591104 divided by its sum of digits (36) gives a square (3744460864 = 61192²).

Adding to 134800591104 its reverse (401195008431), we get a palindrome (535995599535).

It can be divided in two parts, 134800 and 591104, that added together give a square (725904 = 852²).

The spelling of 134800591104 in words is "one hundred thirty-four billion, eight hundred million, five hundred ninety-one thousand, one hundred four".