1135157280 has 144 divisors (see below), whose sum is σ = 3774423744. Its totient is φ = 286732800.

The previous prime is 1135157263. The next prime is 1135157293. The reversal of 1135157280 is 827515311.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170005 + ... + 176555.

It is an arithmetic number, because the mean of its divisors is an integer number (26211276).

Almost surely, 2^1135157280 is an apocalyptic number.

1135157280 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 1135157280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887211872).

1135157280 is an abundant number, since it is smaller than the sum of its proper divisors (2639266464).

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

1135157280 is a wasteful number, since it uses less digits than its factorization.

1135157280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6607 (or 6580 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 33.

The square root of 1135157280 is about 33692.0952153469. The cubic root of 1135157280 is about 1043.1626114951.

The spelling of 1135157280 in words is "one billion, one hundred thirty-five million, one hundred fifty-seven thousand, two hundred eighty".