132606609408 has 1152 divisors, whose sum is σ = 517235846400. Its totient is φ = 32678608896.

The previous prime is 132606609383. The next prime is 132606609431. The reversal of 132606609408 is 804906606231.

132606609408 is a `hidden beast` number, since 1 + 32 + 6 + 0 + 6 + 609 + 4 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×132606609408² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1816528860 + ... + 1816528932.

It is an arithmetic number, because the mean of its divisors is an integer number (448989450).

Almost surely, 2^132606609408 is an apocalyptic number.

132606609408 is a gapful number since it is divisible by the number (18) 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 132606609408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258617923200).

132606609408 is an abundant number, since it is smaller than the sum of its proper divisors (384629236992).

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

132606609408 is a wasteful number, since it uses less digits than its factorization.

132606609408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 132606609408 in words is "one hundred thirty-two billion, six hundred six million, six hundred nine thousand, four hundred eight".