135193942659072 has 1040 divisors, whose sum is σ = 410379238492160. Its totient is φ = 39566809497600.

The previous prime is 135193942659071. The next prime is 135193942659101. The reversal of 135193942659072 is 270956249391531.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 135193942658994 and 135193942659012.

It is not an unprimeable number, because it can be changed into a prime (135193942659071) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1064519233473 + ... + 1064519233599.

Almost surely, 2^{135193942659072} is an apocalyptic number.

135193942659072 is a gapful number since it is divisible by the number (12) 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 135193942659072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205189619246080).

135193942659072 is an abundant number, since it is smaller than the sum of its proper divisors (275185295833088).

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

135193942659072 is an frugal number, since it uses more digits than its factorization.

135193942659072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 110224800, while the sum is 66.

The spelling of 135193942659072 in words is "one hundred thirty-five trillion, one hundred ninety-three billion, nine hundred forty-two million, six hundred fifty-nine thousand, seventy-two".