1139311600 has 120 divisors (see below), whose sum is σ = 3157769120. Its totient is φ = 386933760.

The previous prime is 1139311553. The next prime is 1139311633. The reversal of 1139311600 is 61139311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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, 303334 + ... + 307066.

Almost surely, 2^1139311600 is an apocalyptic number.

1139311600 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 1139311600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578884560).

1139311600 is an abundant number, since it is smaller than the sum of its proper divisors (2018457520).

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

1139311600 is a wasteful number, since it uses less digits than its factorization.

1139311600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3867 (or 3856 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 25.

The square root of 1139311600 is about 33753.6901686319. The cubic root of 1139311600 is about 1044.4336117113.

The spelling of 1139311600 in words is "one billion, one hundred thirty-nine million, three hundred eleven thousand, six hundred".