1375545600 has 648 divisors, whose sum is σ = 5812252992. Its totient is φ = 305971200.

The previous prime is 1375545593. The next prime is 1375545631. The reversal of 1375545600 is 65455731.

1375545600 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 5 + 45 + 600 = 666.

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

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, 8236717 + ... + 8236883.

Almost surely, 2^1375545600 is an apocalyptic number.

1375545600 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 1375545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2906126496).

1375545600 is an abundant number, since it is smaller than the sum of its proper divisors (4436707392).

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

1375545600 is a wasteful number, since it uses less digits than its factorization.

1375545600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 1375545600 is about 37088.3485747209. The cubic root of 1375545600 is about 1112.1371050519.

The spelling of 1375545600 in words is "one billion, three hundred seventy-five million, five hundred forty-five thousand, six hundred".