135597350460 has 288 divisors, whose sum is σ = 450184766976. Its totient is φ = 30292416000.

The previous prime is 135597350459. The next prime is 135597350467. The reversal of 135597350460 is 64053795531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135597350467) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99192697 + ... + 99194063.

It is an arithmetic number, because the mean of its divisors is an integer number (1563141552).

Almost surely, 2^135597350460 is an apocalyptic number.

135597350460 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 135597350460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225092383488).

135597350460 is an abundant number, since it is smaller than the sum of its proper divisors (314587416516).

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

135597350460 is a wasteful number, since it uses less digits than its factorization.

135597350460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2465 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 1701000, while the sum is 48.

The spelling of 135597350460 in words is "one hundred thirty-five billion, five hundred ninety-seven million, three hundred fifty thousand, four hundred sixty".