132667637760 has 384 divisors, whose sum is σ = 525649419360. Its totient is φ = 30321672192.

The previous prime is 132667637737. The next prime is 132667637771. The reversal of 132667637760 is 67736766231.

132667637760 is a `hidden beast` number, since 1 + 3 + 266 + 7 + 6 + 377 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 132667637697 and 132667637706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10315494 + ... + 10328346.

Almost surely, 2^132667637760 is an apocalyptic number.

132667637760 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 132667637760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262824709680).

132667637760 is an abundant number, since it is smaller than the sum of its proper divisors (392981781600).

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

132667637760 is an equidigital number, since it uses as much as digits as its factorization.

132667637760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12901 (or 12870 counting only the distinct ones).

The product of its (nonzero) digits is 8001504, while the sum is 54.

The spelling of 132667637760 in words is "one hundred thirty-two billion, six hundred sixty-seven million, six hundred thirty-seven thousand, seven hundred sixty".