132345529344000 has 6272 divisors, whose sum is σ = 629304488017920. Its totient is φ = 27088846848000.

The previous prime is 132345529343987. The next prime is 132345529344023. The reversal of 132345529344000 is 443925543231.

132345529344000 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 4 + 552 + 93 + 4 + 4 + 0 + 0 + 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 447 ways as a sum of consecutive naturals, for example, 3077803007979 + ... + 3077803008021.

Almost surely, 2^{132345529344000} is an apocalyptic number.

132345529344000 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 132345529344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314652244008960).

132345529344000 is an abundant number, since it is smaller than the sum of its proper divisors (496958958673920).

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

132345529344000 is an frugal number, since it uses more digits than its factorization.

132345529344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 132345529344000 in words is "one hundred thirty-two trillion, three hundred forty-five billion, five hundred twenty-nine million, three hundred forty-four thousand".