15131828742030 has 576 divisors, whose sum is σ = 54109941133248. Its totient is φ = 2883903160320.

The previous prime is 15131828742013. The next prime is 15131828742031. The reversal of 15131828742030 is 3024782813151.

15131828742030 is a `hidden beast` number, since 1 + 5 + 1 + 318 + 287 + 4 + 20 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15131828742031) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 98932494 + ... + 99085326.

It is an arithmetic number, because the mean of its divisors is an integer number (93940870023).

Almost surely, 2^{15131828742030} is an apocalyptic number.

15131828742030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 15131828742030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27054970566624).

15131828742030 is an abundant number, since it is smaller than the sum of its proper divisors (38978112391218).

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

15131828742030 is a wasteful number, since it uses less digits than its factorization.

15131828742030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153041 (or 153031 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 15131828742030 in words is "fifteen trillion, one hundred thirty-one billion, eight hundred twenty-eight million, seven hundred forty-two thousand, thirty".