132614763840 has 448 divisors, whose sum is σ = 514562872320. Its totient is φ = 31947816960.

The previous prime is 132614763823. The next prime is 132614763857. The reversal of 132614763840 is 48367416231.

132614763840 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 1 + 4 + 7 + 638 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (132614763823) and next prime (132614763857).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5266480 + ... + 5291600.

It is an arithmetic number, because the mean of its divisors is an integer number (1148577840).

Almost surely, 2^132614763840 is an apocalyptic number.

132614763840 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 132614763840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257281436160).

132614763840 is an abundant number, since it is smaller than the sum of its proper divisors (381948108480).

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

132614763840 is a wasteful number, since it uses less digits than its factorization.

132614763840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25207 (or 25191 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 132614763840 in words is "one hundred thirty-two billion, six hundred fourteen million, seven hundred sixty-three thousand, eight hundred forty".