1301142528 has 352 divisors, whose sum is σ = 4511915520. Its totient is φ = 367276032.

The previous prime is 1301142497. The next prime is 1301142539. The reversal of 1301142528 is 8252411031.

1301142528 is a `hidden beast` number, since 130 + 1 + 1 + 4 + 2 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15676375 + ... + 15676457.

Almost surely, 2^1301142528 is an apocalyptic number.

1301142528 is a gapful number since it is divisible by the number (18) 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 1301142528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2255957760).

1301142528 is an abundant number, since it is smaller than the sum of its proper divisors (3210772992).

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

1301142528 is an frugal number, since it uses more digits than its factorization.

1301142528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1301142528 is about 36071.3532876159. The cubic root of 1301142528 is about 1091.7125194215.

Adding to 1301142528 its reverse (8252411031), we get a palindrome (9553553559).

The spelling of 1301142528 in words is "one billion, three hundred one million, one hundred forty-two thousand, five hundred twenty-eight".