1142520768 has 448 divisors, whose sum is σ = 3950208000. Its totient is φ = 321159168.

The previous prime is 1142520727. The next prime is 1142520803. The reversal of 1142520768 is 8670252411.

It is a super-2 number, since 2×1142520768² = 2610707410622619648, 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12837268 + ... + 12837356.

Almost surely, 2^1142520768 is an apocalyptic number.

1142520768 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 1142520768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1975104000).

1142520768 is an abundant number, since it is smaller than the sum of its proper divisors (2807687232).

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

1142520768 is a wasteful number, since it uses less digits than its factorization.

1142520768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1142520768 is about 33801.1947717828. The cubic root of 1142520768 is about 1045.4133322146.

The spelling of 1142520768 in words is "one billion, one hundred forty-two million, five hundred twenty thousand, seven hundred sixty-eight".