15130333152 has 288 divisors, whose sum is σ = 48369091680. Its totient is φ = 4447272960.

The previous prime is 15130333139. The next prime is 15130333177. The reversal of 15130333152 is 25133303151.

15130333152 is a `hidden beast` number, since 151 + 30 + 333 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16286224 + ... + 16287152.

It is an arithmetic number, because the mean of its divisors is an integer number (167948235).

Almost surely, 2^15130333152 is an apocalyptic number.

15130333152 is a gapful number since it is divisible by the number (12) 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 15130333152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24184545840).

15130333152 is an abundant number, since it is smaller than the sum of its proper divisors (33238758528).

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

15130333152 is a wasteful number, since it uses less digits than its factorization.

15130333152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

It can be divided in two parts, 151 and 30333152, that added together give a palindrome (30333303).

The spelling of 15130333152 in words is "fifteen billion, one hundred thirty million, three hundred thirty-three thousand, one hundred fifty-two".