1135237680 has 240 divisors, whose sum is σ = 4127235840. Its totient is φ = 289453824.

The previous prime is 1135237667. The next prime is 1135237709. The reversal of 1135237680 is 867325311.

It is a tau number, because it is divible by the number of its divisors (240).

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

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 47 ways as a sum of consecutive naturals, for example, 445851 + ... + 448389.

It is an arithmetic number, because the mean of its divisors is an integer number (17196816).

Almost surely, 2^1135237680 is an apocalyptic number.

1135237680 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 1135237680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063617920).

1135237680 is an abundant number, since it is smaller than the sum of its proper divisors (2991998160).

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

1135237680 is a wasteful number, since it uses less digits than its factorization.

1135237680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2590 (or 2572 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1135237680 is about 33693.2883524301. The cubic root of 1135237680 is about 1043.1872390058.

The spelling of 1135237680 in words is "one billion, one hundred thirty-five million, two hundred thirty-seven thousand, six hundred eighty".