132767912160 has 1152 divisors, whose sum is σ = 540812764800. Its totient is φ = 30218158080.

The previous prime is 132767912159. The next prime is 132767912171. The reversal of 132767912160 is 61219767231.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1218054186 + ... + 1218054294.

It is an arithmetic number, because the mean of its divisors is an integer number (469455525).

Almost surely, 2^132767912160 is an apocalyptic number.

132767912160 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 132767912160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270406382400).

132767912160 is an abundant number, since it is smaller than the sum of its proper divisors (408044852640).

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

132767912160 is a wasteful number, since it uses less digits than its factorization.

132767912160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 132767912160 in words is "one hundred thirty-two billion, seven hundred sixty-seven million, nine hundred twelve thousand, one hundred sixty".