135298405200 has 480 divisors, whose sum is σ = 504924468480. Its totient is φ = 30331699200.

The previous prime is 135298405183. The next prime is 135298405217. The reversal of 135298405200 is 2504892531.

It is an interprime number because it is at equal distance from previous prime (135298405183) and next prime (135298405217).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102420540 + ... + 102421860.

It is an arithmetic number, because the mean of its divisors is an integer number (1051925976).

Almost surely, 2^135298405200 is an apocalyptic number.

135298405200 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 135298405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252462234240).

135298405200 is an abundant number, since it is smaller than the sum of its proper divisors (369626063280).

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

135298405200 is a wasteful number, since it uses less digits than its factorization.

135298405200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 135298405200 in words is "one hundred thirty-five billion, two hundred ninety-eight million, four hundred five thousand, two hundred".