134987543832960 has 2048 divisors, whose sum is σ = 628546944614400. Its totient is φ = 26567730266112.

The previous prime is 134987543832937. The next prime is 134987543832961. The reversal of 134987543832960 is 69238345789431.

It is a happy number.

134987543832960 is a `hidden beast` number, since 1 + 3 + 4 + 9 + 8 + 75 + 438 + 32 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134987543832961) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3020711737 + ... + 3020756423.

It is an arithmetic number, because the mean of its divisors is an integer number (306907687800).

It is a 1-persistent number, because it is pandigital, but 2⋅134987543832960 = 269975087665920 is not.

Almost surely, 2^{134987543832960} is an apocalyptic number.

134987543832960 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 134987543832960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314273472307200).

134987543832960 is an abundant number, since it is smaller than the sum of its proper divisors (493559400781440).

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

134987543832960 is a wasteful number, since it uses less digits than its factorization.

134987543832960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44865 (or 44847 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 134987543832960 in words is "one hundred thirty-four trillion, nine hundred eighty-seven billion, five hundred forty-three million, eight hundred thirty-two thousand, nine hundred sixty".