30135001148 has 96 divisors (see below), whose sum is σ = 65637734400. Its totient is φ = 11817792000.

The previous prime is 30135001147. The next prime is 30135001199. The reversal of 30135001148 is 84110053103.

It is a super-2 number, since 2×30135001148² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30135001147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2196173 + ... + 2209851.

It is an arithmetic number, because the mean of its divisors is an integer number (683726400).

Almost surely, 2^30135001148 is an apocalyptic number.

30135001148 is a gapful number since it is divisible by the number (38) 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 30135001148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32818867200).

30135001148 is an abundant number, since it is smaller than the sum of its proper divisors (35502733252).

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

30135001148 is a wasteful number, since it uses less digits than its factorization.

30135001148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13851 (or 13849 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The spelling of 30135001148 in words is "thirty billion, one hundred thirty-five million, one thousand, one hundred forty-eight".