135596109240 has 768 divisors, whose sum is σ = 506313400320. Its totient is φ = 32487505920.

The previous prime is 135596109211. The next prime is 135596109269. The reversal of 135596109240 is 42901695531.

135596109240 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 9 + 610 + 9 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (135596109211) and next prime (135596109269).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 527611192 + ... + 527611448.

It is an arithmetic number, because the mean of its divisors is an integer number (659262240).

Almost surely, 2^135596109240 is an apocalyptic number.

135596109240 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 135596109240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253156700160).

135596109240 is an abundant number, since it is smaller than the sum of its proper divisors (370717291080).

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

135596109240 is a wasteful number, since it uses less digits than its factorization.

135596109240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 135596109240 in words is "one hundred thirty-five billion, five hundred ninety-six million, one hundred nine thousand, two hundred forty".