132677975603712 has 960 divisors, whose sum is σ = 467436202168320. Its totient is φ = 32670927421440.

The previous prime is 132677975603699. The next prime is 132677975603809. The reversal of 132677975603712 is 217306579776231.

It is a Harshad number since it is a multiple of its sum of digits (66).

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, 3381258589 + ... + 3381297827.

It is an arithmetic number, because the mean of its divisors is an integer number (486912710592).

Almost surely, 2^{132677975603712} is an apocalyptic number.

132677975603712 is a gapful number since it is divisible by the number (12) 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 132677975603712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233718101084160).

132677975603712 is an abundant number, since it is smaller than the sum of its proper divisors (334758226564608).

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

132677975603712 is a wasteful number, since it uses less digits than its factorization.

132677975603712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39425 (or 39398 counting only the distinct ones).

The product of its (nonzero) digits is 140026320, while the sum is 66.

The spelling of 132677975603712 in words is "one hundred thirty-two trillion, six hundred seventy-seven billion, nine hundred seventy-five million, six hundred three thousand, seven hundred twelve".