132958748160 has 960 divisors, whose sum is σ = 564767691840. Its totient is φ = 29541335040.

The previous prime is 132958748159. The next prime is 132958748171. The reversal of 132958748160 is 61847859231.

132958748160 is a `hidden beast` number, since 1 + 3 + 2 + 9 + 587 + 48 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 132958748097 and 132958748106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 125314030 + ... + 125315090.

It is an arithmetic number, because the mean of its divisors is an integer number (588299679).

It is a 1-persistent number, because it is pandigital, but 2⋅132958748160 = 265917496320 is not.

Almost surely, 2^132958748160 is an apocalyptic number.

132958748160 is a gapful number since it is divisible by the number (10) 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 132958748160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282383845920).

132958748160 is an abundant number, since it is smaller than the sum of its proper divisors (431808943680).

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

132958748160 is a wasteful number, since it uses less digits than its factorization.

132958748160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 132958748160 in words is "one hundred thirty-two billion, nine hundred fifty-eight million, seven hundred forty-eight thousand, one hundred sixty".