1528137132282 has 320 divisors, whose sum is σ = 3772273420800. Its totient is φ = 463943158272.

The previous prime is 1528137132281. The next prime is 1528137132283. The reversal of 1528137132282 is 2822317318251.

It is a happy number.

1528137132282 is a `hidden beast` number, since 1 + 52 + 8 + 1 + 371 + 3 + 228 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1528137132281) and next prime (1528137132283).

It is not an unprimeable number, because it can be changed into a prime (1528137132281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17170080094 + ... + 17170080182.

It is an arithmetic number, because the mean of its divisors is an integer number (11788354440).

Almost surely, 2^{1528137132282} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1528137132282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886136710400).

1528137132282 is an abundant number, since it is smaller than the sum of its proper divisors (2244136288518).

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

1528137132282 is an frugal number, since it uses more digits than its factorization.

1528137132282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 158 counting only the distinct ones).

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

The spelling of 1528137132282 in words is "one trillion, five hundred twenty-eight billion, one hundred thirty-seven million, one hundred thirty-two thousand, two hundred eighty-two".