132277133721600 has 3600 divisors, whose sum is σ = 609156753694720. Its totient is φ = 27690821222400.

The previous prime is 132277133721583. The next prime is 132277133721637. The reversal of 132277133721600 is 6127331772231.

132277133721600 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 7 + 7 + 1 + 3 + 37 + 2 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

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 239 ways as a sum of consecutive naturals, for example, 136791244317 + ... + 136791245283.

Almost surely, 2^{132277133721600} is an apocalyptic number.

132277133721600 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 132277133721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304578376847360).

132277133721600 is an abundant number, since it is smaller than the sum of its proper divisors (476879619973120).

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

132277133721600 is an equidigital number, since it uses as much as digits as its factorization.

132277133721600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The spelling of 132277133721600 in words is "one hundred thirty-two trillion, two hundred seventy-seven billion, one hundred thirty-three million, seven hundred twenty-one thousand, six hundred".