1284553152 has 168 divisors, whose sum is σ = 3778306896. Its totient is φ = 417153024.

The previous prime is 1284553111. The next prime is 1284553157. The reversal of 1284553152 is 2513554821.

1284553152 is a `hidden beast` number, since 12 + 84 + 553 + 15 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1284553157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4637238 + ... + 4637514.

It is an arithmetic number, because the mean of its divisors is an integer number (22489922).

Almost surely, 2^1284553152 is an apocalyptic number.

1284553152 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 1284553152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889153448).

1284553152 is an abundant number, since it is smaller than the sum of its proper divisors (2493753744).

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

1284553152 is a wasteful number, since it uses less digits than its factorization.

1284553152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 462 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 1284553152 is about 35840.6633867176. The cubic root of 1284553152 is about 1087.0529352249.

The spelling of 1284553152 in words is "one billion, two hundred eighty-four million, five hundred fifty-three thousand, one hundred fifty-two".