1138174837200 has 600 divisors, whose sum is σ = 4307736623520. Its totient is φ = 287009049600.

The previous prime is 1138174837183. The next prime is 1138174837207. The reversal of 1138174837200 is 27384718311.

1138174837200 is a `hidden beast` number, since 1 + 138 + 17 + 483 + 7 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1138174837207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 416759835 + ... + 416762565.

Almost surely, 2^{1138174837200} is an apocalyptic number.

1138174837200 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 1138174837200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2153868311760).

1138174837200 is an abundant number, since it is smaller than the sum of its proper divisors (3169561786320).

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

1138174837200 is a wasteful number, since it uses less digits than its factorization.

1138174837200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3457 (or 3437 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 1138174837200 in words is "one trillion, one hundred thirty-eight billion, one hundred seventy-four million, eight hundred thirty-seven thousand, two hundred".