134533365210240 has 256 divisors, whose sum is σ = 431202097520640. Its totient is φ = 35676819353600.

The previous prime is 134533365210199. The next prime is 134533365210247. The reversal of 134533365210240 is 42012563335431.

It is a junction number, because it is equal to n+sod(n) for n = 134533365210192 and 134533365210201.

It is not an unprimeable number, because it can be changed into a prime (134533365210247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1236158707 + ... + 1236267533.

It is an arithmetic number, because the mean of its divisors is an integer number (1684383193440).

Almost surely, 2^{134533365210240} is an apocalyptic number.

134533365210240 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 134533365210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215601048760320).

134533365210240 is an abundant number, since it is smaller than the sum of its proper divisors (296668732310400).

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

134533365210240 is a wasteful number, since it uses less digits than its factorization.

134533365210240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112411 (or 112399 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 42.

The spelling of 134533365210240 in words is "one hundred thirty-four trillion, five hundred thirty-three billion, three hundred sixty-five million, two hundred ten thousand, two hundred forty".