132305177130 has 256 divisors, whose sum is σ = 374026346496. Its totient is φ = 29331256320.

The previous prime is 132305177107. The next prime is 132305177131. The reversal of 132305177130 is 31771503231.

It is a junction number, because it is equal to n+sod(n) for n = 132305177091 and 132305177100.

It is not an unprimeable number, because it can be changed into a prime (132305177131) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 503061379 + ... + 503061641.

It is an arithmetic number, because the mean of its divisors is an integer number (1461040416).

Almost surely, 2^132305177130 is an apocalyptic number.

132305177130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132305177130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187013173248).

132305177130 is an abundant number, since it is smaller than the sum of its proper divisors (241721169366).

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

132305177130 is a wasteful number, since it uses less digits than its factorization.

132305177130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741.

The product of its (nonzero) digits is 13230, while the sum is 33.

The spelling of 132305177130 in words is "one hundred thirty-two billion, three hundred five million, one hundred seventy-seven thousand, one hundred thirty".