132134377752 has 192 divisors, whose sum is σ = 410122440000. Its totient is φ = 38071959552.

The previous prime is 132134377729. The next prime is 132134377787. The reversal of 132134377752 is 257773431231.

132134377752 is a `hidden beast` number, since 13 + 213 + 4 + 377 + 7 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 132134377698 and 132134377707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3145624 + ... + 3187352.

It is an arithmetic number, because the mean of its divisors is an integer number (2136054375).

Almost surely, 2^132134377752 is an apocalyptic number.

132134377752 is a gapful number since it is divisible by the number (12) 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 132134377752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205061220000).

132134377752 is an abundant number, since it is smaller than the sum of its proper divisors (277988062248).

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

132134377752 is a wasteful number, since it uses less digits than its factorization.

132134377752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41970 (or 41963 counting only the distinct ones).

The product of its digits is 740880, while the sum is 45.

The spelling of 132134377752 in words is "one hundred thirty-two billion, one hundred thirty-four million, three hundred seventy-seven thousand, seven hundred fifty-two".