132134133142128 has 320 divisors, whose sum is σ = 409808195596800. Its totient is φ = 36242745753600.

The previous prime is 132134133142021. The next prime is 132134133142129. The reversal of 132134133142128 is 821241331431231.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132134133142129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 897034308 + ... + 897181596.

It is an arithmetic number, because the mean of its divisors is an integer number (1280650611240).

Almost surely, 2^{132134133142128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132134133142128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204904097798400).

132134133142128 is an abundant number, since it is smaller than the sum of its proper divisors (277674062454672).

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

132134133142128 is a wasteful number, since it uses less digits than its factorization.

132134133142128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151800 (or 151794 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

Adding to 132134133142128 its reverse (821241331431231), we get a palindrome (953375464573359).

The spelling of 132134133142128 in words is "one hundred thirty-two trillion, one hundred thirty-four billion, one hundred thirty-three million, one hundred forty-two thousand, one hundred twenty-eight".