135467783518760 has 192 divisors, whose sum is σ = 386819524080000. Its totient is φ = 42221536519680.

The previous prime is 135467783518759. The next prime is 135467783518777. The reversal of 135467783518760 is 67815387764531.

It is a Smith number, since the sum of its digits (71) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 443961926 + ... + 444266954.

It is an arithmetic number, because the mean of its divisors is an integer number (2014685021250).

Almost surely, 2^{135467783518760} is an apocalyptic number.

135467783518760 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 135467783518760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193409762040000).

135467783518760 is an abundant number, since it is smaller than the sum of its proper divisors (251351740561240).

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

135467783518760 is a wasteful number, since it uses less digits than its factorization.

135467783518760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325664 (or 325653 counting only the distinct ones).

The product of its (nonzero) digits is 711244800, while the sum is 71.

The spelling of 135467783518760 in words is "one hundred thirty-five trillion, four hundred sixty-seven billion, seven hundred eighty-three million, five hundred eighteen thousand, seven hundred sixty".