132846227712 has 288 divisors, whose sum is σ = 447202344960. Its totient is φ = 38505646080.

The previous prime is 132846227681. The next prime is 132846227743. The reversal of 132846227712 is 217722648231.

132846227712 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 4 + 622 + 7 + 7 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (132846227681) and next prime (132846227743).

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1710753 + ... + 1786719.

It is an arithmetic number, because the mean of its divisors is an integer number (1552785920).

Almost surely, 2^132846227712 is an apocalyptic number.

132846227712 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 132846227712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223601172480).

132846227712 is an abundant number, since it is smaller than the sum of its proper divisors (314356117248).

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

132846227712 is a wasteful number, since it uses less digits than its factorization.

132846227712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76026 (or 76006 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The spelling of 132846227712 in words is "one hundred thirty-two billion, eight hundred forty-six million, two hundred twenty-seven thousand, seven hundred twelve".