132606319104 has 640 divisors, whose sum is σ = 479058624000. Its totient is φ = 35354050560.

The previous prime is 132606319091. The next prime is 132606319117. The reversal of 132606319104 is 401913606231.

132606319104 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 0 + 631 + 9 + 10 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (132606319091) and next prime (132606319117).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 245113074 + ... + 245113614.

It is an arithmetic number, because the mean of its divisors is an integer number (748529100).

Almost surely, 2^132606319104 is an apocalyptic number.

132606319104 is a gapful number since it is divisible by the number (14) 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 132606319104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239529312000).

132606319104 is an abundant number, since it is smaller than the sum of its proper divisors (346452304896).

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

132606319104 is a wasteful number, since it uses less digits than its factorization.

132606319104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 132606319104 in words is "one hundred thirty-two billion, six hundred six million, three hundred nineteen thousand, one hundred four".