132677633088 has 1008 divisors, whose sum is σ = 530903273472. Its totient is φ = 30730752000.

The previous prime is 132677633087. The next prime is 132677633117. The reversal of 132677633088 is 880336776231.

132677633088 is a `hidden beast` number, since 1 + 3 + 267 + 76 + 3 + 308 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132677633087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 232359843 + ... + 232360413.

Almost surely, 2^132677633088 is an apocalyptic number.

132677633088 is a gapful number since it is divisible by the number (18) 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 132677633088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265451636736).

132677633088 is an abundant number, since it is smaller than the sum of its proper divisors (398225640384).

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

132677633088 is a wasteful number, since it uses less digits than its factorization.

132677633088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 132677633088 in words is "one hundred thirty-two billion, six hundred seventy-seven million, six hundred thirty-three thousand, eighty-eight".