132457461840 has 640 divisors, whose sum is σ = 546736435200. Its totient is φ = 29095925760.

The previous prime is 132457461823. The next prime is 132457461971. The reversal of 132457461840 is 48164754231.

132457461840 is a `hidden beast` number, since 1 + 3 + 24 + 5 + 7 + 4 + 618 + 4 + 0 = 666.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10376742 + ... + 10389498.

It is an arithmetic number, because the mean of its divisors is an integer number (854275680).

Almost surely, 2^132457461840 is an apocalyptic number.

132457461840 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 132457461840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273368217600).

132457461840 is an abundant number, since it is smaller than the sum of its proper divisors (414278973360).

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

132457461840 is a wasteful number, since it uses less digits than its factorization.

132457461840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12832 (or 12820 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 132457461840 in words is "one hundred thirty-two billion, four hundred fifty-seven million, four hundred sixty-one thousand, eight hundred forty".