132178627049040 has 960 divisors, whose sum is σ = 553397460295680. Its totient is φ = 28890537338880.

The previous prime is 132178627049011. The next prime is 132178627049041. The reversal of 132178627049040 is 40940726871231.

132178627049040 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 7 + 8 + 627 + 0 + 4 + 9 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132178627049041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 118983681 + ... + 120089439.

It is an arithmetic number, because the mean of its divisors is an integer number (576455687808).

Almost surely, 2^{132178627049040} is an apocalyptic number.

132178627049040 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 132178627049040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276698730147840).

132178627049040 is an abundant number, since it is smaller than the sum of its proper divisors (421218833246640).

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

132178627049040 is a wasteful number, since it uses less digits than its factorization.

132178627049040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105854 (or 1105836 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 132178627049040 in words is "one hundred thirty-two trillion, one hundred seventy-eight billion, six hundred twenty-seven million, forty-nine thousand, forty".