30201515136 has 192 divisors, whose sum is σ = 94142313720. Its totient is φ = 9238265856.

The previous prime is 30201515129. The next prime is 30201515207. The reversal of 30201515136 is 63151510203.

It can be written as a sum of positive squares in 4 ways, for example, as 28669262400 + 1532252736 = 169320^2 + 39144^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2585020 + ... + 2596676.

Almost surely, 2^30201515136 is an apocalyptic number.

30201515136 is a gapful number since it is divisible by the number (36) 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 30201515136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47071156860).

30201515136 is an abundant number, since it is smaller than the sum of its proper divisors (63940798584).

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

30201515136 is a wasteful number, since it uses less digits than its factorization.

30201515136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11863 (or 11848 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 30201515136 in words is "thirty billion, two hundred one million, five hundred fifteen thousand, one hundred thirty-six".