1139553800 has 324 divisors, whose sum is σ = 3500488845. Its totient is φ = 343728000.

The previous prime is 1139553797. The next prime is 1139553827. The reversal of 1139553800 is 83559311.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1116762724 + 22791076 = 33418^2 + 4774^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=23870.

It is a Harshad number since it is a multiple of its sum of digits (35).

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 80 ways as a sum of consecutive naturals, for example, 36759785 + ... + 36759815.

Almost surely, 2^1139553800 is an apocalyptic number.

1139553800 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 1139553800

1139553800 is an abundant number, since it is smaller than the sum of its proper divisors (2360935045).

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

1139553800 is a wasteful number, since it uses less digits than its factorization.

1139553800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 35.

The square root of 1139553800 is about 33757.2777338458. The cubic root of 1139553800 is about 1044.5076166039.

Multiplying 1139553800 by its product of nonzero digits (16200), we get a square (18460771560000 = 4296600²).

The spelling of 1139553800 in words is "one billion, one hundred thirty-nine million, five hundred fifty-three thousand, eight hundred".