1139732100 has 288 divisors, whose sum is σ = 4155984000. Its totient is φ = 265628160.

The previous prime is 1139732059. The next prime is 1139732117. The reversal of 1139732100 is 12379311.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 666046 + ... + 667754.

It is an arithmetic number, because the mean of its divisors is an integer number (14430500).

Almost surely, 2^1139732100 is an apocalyptic number.

1139732100 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 1139732100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2077992000).

1139732100 is an abundant number, since it is smaller than the sum of its proper divisors (3016251900).

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

1139732100 is a wasteful number, since it uses less digits than its factorization.

1139732100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 1139732100 is about 33759.9185425558. The cubic root of 1139732100 is about 1044.5620899705.

The spelling of 1139732100 in words is "one billion, one hundred thirty-nine million, seven hundred thirty-two thousand, one hundred".