135439096665600 has 2880 divisors, whose sum is σ = 615770783147520. Its totient is φ = 27666402508800.

The previous prime is 135439096665577. The next prime is 135439096665617. The reversal of 135439096665600 is 6566690934531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 59743755667 + ... + 59743757933.

It is an arithmetic number, because the mean of its divisors is an integer number (213809299704).

Almost surely, 2^{135439096665600} is an apocalyptic number.

135439096665600 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 135439096665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307885391573760).

135439096665600 is an abundant number, since it is smaller than the sum of its proper divisors (480331686481920).

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

135439096665600 is a wasteful number, since it uses less digits than its factorization.

135439096665600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2501 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 94478400, while the sum is 63.

The spelling of 135439096665600 in words is "one hundred thirty-five trillion, four hundred thirty-nine billion, ninety-six million, six hundred sixty-five thousand, six hundred".