132457801769160 has 256 divisors, whose sum is σ = 457836317245440. Its totient is φ = 30029841192960.

The previous prime is 132457801769147. The next prime is 132457801769177. The reversal of 132457801769160 is 61967108754231.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 132457801769094 and 132457801769103.

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, 413865117 + ... + 414185043.

It is an arithmetic number, because the mean of its divisors is an integer number (1788423114240).

It is a 1-persistent number, because it is pandigital, but 2⋅132457801769160 = 264915603538320 is not.

Almost surely, 2^{132457801769160} is an apocalyptic number.

132457801769160 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 132457801769160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228918158622720).

132457801769160 is an abundant number, since it is smaller than the sum of its proper divisors (325378515476280).

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

132457801769160 is a wasteful number, since it uses less digits than its factorization.

132457801769160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323956 (or 323952 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 60.

The spelling of 132457801769160 in words is "one hundred thirty-two trillion, four hundred fifty-seven billion, eight hundred one million, seven hundred sixty-nine thousand, one hundred sixty".