133614374089 has 27 divisors (see below), whose sum is σ = 157659842151. Its totient is φ = 112905833040.

The previous prime is 133614374087. The next prime is 133614374107. The reversal of 133614374089 is 980473416331.

It is a happy number.

The square root of 133614374089 is 365533.

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

It can be written as a sum of positive squares in only one way, i.e., 106091564089 + 27522810000 = 325717^2 + 165900^2 .

It is not a de Polignac number, because 133614374089 - 2¹ = 133614374087 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (133614374087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 202139419 + ... + 202140079.

It is an arithmetic number, because the mean of its divisors is an integer number (5839253413).

Almost surely, 2^133614374089 is an apocalyptic number.

133614374089 is the 365533-rd square number.

133614374089 is the 182767-th centered octagonal number.

It is an amenable number.

133614374089 is a deficient number, since it is larger than the sum of its proper divisors (24045468062).

133614374089 is an frugal number, since it uses more digits than its factorization.

133614374089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 49.

Multiplying 133614374089 by its sum of digits (49), we get a square (6547104330361 = 2558731²).

133614374089 divided by its sum of digits (49) gives a square (2726823961 = 52219²).

The spelling of 133614374089 in words is "one hundred thirty-three billion, six hundred fourteen million, three hundred seventy-four thousand, eighty-nine".