1288252152 has 144 divisors (see below), whose sum is σ = 3968055000. Its totient is φ = 376844160.

The previous prime is 1288252099. The next prime is 1288252169. The reversal of 1288252152 is 2512528821.

1288252152 is a `hidden beast` number, since 1 + 2 + 8 + 82 + 521 + 52 = 666.

It is a super-2 number, since 2×1288252152² = 3319187214265262208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 250099 + ... + 255197.

Almost surely, 2^1288252152 is an apocalyptic number.

1288252152 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 1288252152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984027500).

1288252152 is an abundant number, since it is smaller than the sum of its proper divisors (2679802848).

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

1288252152 is a wasteful number, since it uses less digits than its factorization.

1288252152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5162 (or 5144 counting only the distinct ones).

The product of its digits is 25600, while the sum is 36.

The square root of 1288252152 is about 35892.2296883323. The cubic root of 1288252152 is about 1088.0953613611.

The spelling of 1288252152 in words is "one billion, two hundred eighty-eight million, two hundred fifty-two thousand, one hundred fifty-two".