132151131123633 has 24 divisors (see below), whose sum is σ = 204197138957448. Its totient is φ = 82063528353792.

The previous prime is 132151131123617. The next prime is 132151131123637. The reversal of 132151131123633 is 336321131151231.

132151131123633 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 5 + 1 + 1 + 3 + 1 + 12 + 3 + 633 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 54220071911184 + 77931059212449 = 7363428^2 + 8827857^2 .

It is not a de Polignac number, because 132151131123633 - 2⁴ = 132151131123617 is a prime.

It is a super-2 number, since 2×132151131123633² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132151131123637) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4452216516 + ... + 4452246197.

It is an arithmetic number, because the mean of its divisors is an integer number (8508214123227).

Almost surely, 2^{132151131123633} is an apocalyptic number.

It is an amenable number.

132151131123633 is a deficient number, since it is larger than the sum of its proper divisors (72046007833815).

132151131123633 is a wasteful number, since it uses less digits than its factorization.

132151131123633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8904462833 (or 8904462830 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

Adding to 132151131123633 its reverse (336321131151231), we get a palindrome (468472262274864).

The spelling of 132151131123633 in words is "one hundred thirty-two trillion, one hundred fifty-one billion, one hundred thirty-one million, one hundred twenty-three thousand, six hundred thirty-three".