132547135104000 has 1760 divisors, whose sum is σ = 502332728616576. Its totient is φ = 34753270579200.

The previous prime is 132547135103881. The next prime is 132547135104031. The reversal of 132547135104000 is 401531745231.

132547135104000 is a `hidden beast` number, since 1 + 3 + 2 + 547 + 1 + 3 + 5 + 104 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 180828287634 + ... + 180828288366.

Almost surely, 2^{132547135104000} is an apocalyptic number.

132547135104000 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 132547135104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251166364308288).

132547135104000 is an abundant number, since it is smaller than the sum of its proper divisors (369785593512576).

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

132547135104000 is a wasteful number, since it uses less digits than its factorization.

132547135104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Adding to 132547135104000 its reverse (401531745231), we get a palindrome (132948666849231).

The spelling of 132547135104000 in words is "one hundred thirty-two trillion, five hundred forty-seven billion, one hundred thirty-five million, one hundred four thousand".