1380175200 has 540 divisors, whose sum is σ = 5402115180. Its totient is φ = 342766080.

The previous prime is 1380175193. The next prime is 1380175213. The reversal of 1380175200 is 25710831.

1380175200 is a `hidden beast` number, since 138 + 0 + 1 + 7 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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 (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 23392771 + ... + 23392829.

It is an arithmetic number, because the mean of its divisors is an integer number (10003917).

Almost surely, 2^1380175200 is an apocalyptic number.

1380175200 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 1380175200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2701057590).

1380175200 is an abundant number, since it is smaller than the sum of its proper divisors (4021939980).

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

1380175200 is a wasteful number, since it uses less digits than its factorization.

1380175200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1380175200 is about 37150.7092799047. The cubic root of 1380175200 is about 1113.3833946278.

The spelling of 1380175200 in words is "one billion, three hundred eighty million, one hundred seventy-five thousand, two hundred".