132461511038208 has 720 divisors, whose sum is σ = 449957344636800. Its totient is φ = 38365601218560.

The previous prime is 132461511038119. The next prime is 132461511038209. The reversal of 132461511038208 is 802830115164231.

132461511038208 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 615 + 1 + 1 + 0 + 3 + 8 + 20 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132461511038209) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7496822398 + ... + 7496840066.

It is an arithmetic number, because the mean of its divisors is an integer number (624940756440).

Almost surely, 2^{132461511038208} is an apocalyptic number.

132461511038208 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 132461511038208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224978672318400).

132461511038208 is an abundant number, since it is smaller than the sum of its proper divisors (317495833598592).

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

132461511038208 is a wasteful number, since it uses less digits than its factorization.

132461511038208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19160 (or 19137 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 132461511038208 in words is "one hundred thirty-two trillion, four hundred sixty-one billion, five hundred eleven million, thirty-eight thousand, two hundred eight".