1142552320 has 288 divisors, whose sum is σ = 3572650368. Its totient is φ = 339738624.

The previous prime is 1142552317. The next prime is 1142552329. The reversal of 1142552320 is 232552411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142552329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1979872 + ... + 1980448.

It is an arithmetic number, because the mean of its divisors is an integer number (12405036).

Almost surely, 2^1142552320 is an apocalyptic number.

1142552320 is a gapful number since it is divisible by the number (10) 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 1142552320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786325184).

1142552320 is an abundant number, since it is smaller than the sum of its proper divisors (2430098048).

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

1142552320 is a wasteful number, since it uses less digits than its factorization.

1142552320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 1142552320 is about 33801.6614976246. The cubic root of 1142552320 is about 1045.4229555489.

Subtracting from 1142552320 its reverse (232552411), we obtain a palindrome (909999909).

The spelling of 1142552320 in words is "one billion, one hundred forty-two million, five hundred fifty-two thousand, three hundred twenty".