1134690125184 has 2304 divisors, whose sum is σ = 4778106278400. Its totient is φ = 259183411200.

The previous prime is 1134690125159. The next prime is 1134690125207. The reversal of 1134690125184 is 4815210964311.

1134690125184 is a `hidden beast` number, since 1 + 1 + 3 + 46 + 90 + 1 + 2 + 518 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 36602907249 + ... + 36602907279.

It is an arithmetic number, because the mean of its divisors is an integer number (2073830850).

Almost surely, 2^{1134690125184} is an apocalyptic number.

1134690125184 is a gapful number since it is divisible by the number (14) 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 1134690125184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2389053139200).

1134690125184 is an abundant number, since it is smaller than the sum of its proper divisors (3643416153216).

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

1134690125184 is a wasteful number, since it uses less digits than its factorization.

1134690125184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 1134690125184 in words is "one trillion, one hundred thirty-four billion, six hundred ninety million, one hundred twenty-five thousand, one hundred eighty-four".