135983441034 has 288 divisors, whose sum is σ = 369424613376. Its totient is φ = 37340079840.

The previous prime is 135983440987. The next prime is 135983441039. The reversal of 135983441034 is 430144389531.

135983441034 is a `hidden beast` number, since 1 + 3 + 598 + 3 + 44 + 10 + 3 + 4 = 666.

It is a super-3 number, since 3×135983441034³ (a number of 34 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (135983441039) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 123284527 + ... + 123285629.

It is an arithmetic number, because the mean of its divisors is an integer number (1282724352).

Almost surely, 2^135983441034 is an apocalyptic number.

135983441034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135983441034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184712306688).

135983441034 is an abundant number, since it is smaller than the sum of its proper divisors (233441172342).

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

135983441034 is a wasteful number, since it uses less digits than its factorization.

135983441034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 135983441034 in words is "one hundred thirty-five billion, nine hundred eighty-three million, four hundred forty-one thousand, thirty-four".