132457461810408 has 128 divisors (see below), whose sum is σ = 421335865036800. Its totient is φ = 37769750324928.

The previous prime is 132457461810407. The next prime is 132457461810437. The reversal of 132457461810408 is 804018164754231.

It is a happy number.

132457461810408 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 5 + 7 + 4 + 618 + 10 + 4 + 0 + 8 = 666.

132457461810408 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (132457461810403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86321116 + ... + 87842187.

It is an arithmetic number, because the mean of its divisors is an integer number (3291686445600).

Almost surely, 2^{132457461810408} is an apocalyptic number.

132457461810408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

132457461810408 is an abundant number, since it is smaller than the sum of its proper divisors (288878403226392).

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

132457461810408 is a wasteful number, since it uses less digits than its factorization.

132457461810408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174163828 (or 174163818 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 132457461810408 in words is "one hundred thirty-two trillion, four hundred fifty-seven billion, four hundred sixty-one million, eight hundred ten thousand, four hundred eight".