132677975808 has 576 divisors, whose sum is σ = 461518848000. Its totient is φ = 37580820480.

The previous prime is 132677975791. The next prime is 132677975839. The reversal of 132677975808 is 808579776231.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 452825710 + ... + 452826002.

It is an arithmetic number, because the mean of its divisors is an integer number (801248000).

Almost surely, 2^132677975808 is an apocalyptic number.

132677975808 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 132677975808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230759424000).

132677975808 is an abundant number, since it is smaller than the sum of its proper divisors (328840872192).

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

132677975808 is an equidigital number, since it uses as much as digits as its factorization.

132677975808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 132677975808 in words is "one hundred thirty-two billion, six hundred seventy-seven million, nine hundred seventy-five thousand, eight hundred eight".