1375315200 has 540 divisors, whose sum is σ = 5826953440. Its totient is φ = 313528320.

The previous prime is 1375315177. The next prime is 1375315219. The reversal of 1375315200 is 25135731.

1375315200 is a `hidden beast` number, since 137 + 5 + 3 + 1 + 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 59 ways as a sum of consecutive naturals, for example, 3628611 + ... + 3628989.

Almost surely, 2^1375315200 is an apocalyptic number.

1375315200 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 1375315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2913476720).

1375315200 is an abundant number, since it is smaller than the sum of its proper divisors (4451638240).

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

1375315200 is an equidigital number, since it uses as much as digits as its factorization.

1375315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 1375315200 is about 37085.2423478666. The cubic root of 1375315200 is about 1112.0750083109.

The spelling of 1375315200 in words is "one billion, three hundred seventy-five million, three hundred fifteen thousand, two hundred".