135134250331040 has 96 divisors (see below), whose sum is σ = 324730770154560. Its totient is φ = 53126896021504.

The previous prime is 135134250331039. The next prime is 135134250331057. The reversal of 135134250331040 is 40133052431531.

It is a super-2 number, since 2×135134250331040² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45797672 + ... + 48658968.

It is an arithmetic number, because the mean of its divisors is an integer number (3382612189110).

Almost surely, 2^{135134250331040} is an apocalyptic number.

135134250331040 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 135134250331040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162365385077280).

135134250331040 is an abundant number, since it is smaller than the sum of its proper divisors (189596519823520).

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

135134250331040 is a wasteful number, since it uses less digits than its factorization.

135134250331040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2866374 (or 2866366 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 35.

The spelling of 135134250331040 in words is "one hundred thirty-five trillion, one hundred thirty-four billion, two hundred fifty million, three hundred thirty-one thousand, forty".