1387144800 has 432 divisors, whose sum is σ = 5186668032. Its totient is φ = 348364800.

The previous prime is 1387144777. The next prime is 1387144813. The reversal of 1387144800 is 84417831.

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

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 10922337 + ... + 10922463.

It is an arithmetic number, because the mean of its divisors is an integer number (12006176).

Almost surely, 2^1387144800 is an apocalyptic number.

1387144800 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 1387144800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2593334016).

1387144800 is an abundant number, since it is smaller than the sum of its proper divisors (3799523232).

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

1387144800 is a wasteful number, since it uses less digits than its factorization.

1387144800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1387144800 is about 37244.3928665779. The cubic root of 1387144800 is about 1115.2543676198.

The spelling of 1387144800 in words is "one billion, three hundred eighty-seven million, one hundred forty-four thousand, eight hundred".