135330201500 has 192 divisors, whose sum is σ = 322660945152. Its totient is φ = 49288320000.

The previous prime is 135330201499. The next prime is 135330201541. The reversal of 135330201500 is 5102033531.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 169799102 + ... + 169799898.

It is an arithmetic number, because the mean of its divisors is an integer number (1680525756).

Almost surely, 2^135330201500 is an apocalyptic number.

135330201500 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 135330201500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161330472576).

135330201500 is an abundant number, since it is smaller than the sum of its proper divisors (187330743652).

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

135330201500 is a wasteful number, since it uses less digits than its factorization.

135330201500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 23.

The spelling of 135330201500 in words is "one hundred thirty-five billion, three hundred thirty million, two hundred one thousand, five hundred".