1375952000 has 128 divisors (see below), whose sum is σ = 3570652800. Its totient is φ = 526310400.

The previous prime is 1375951991. The next prime is 1375952003. The reversal of 1375952000 is 2595731.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (1375952003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 366131 + ... + 369869.

It is an arithmetic number, because the mean of its divisors is an integer number (27895725).

Almost surely, 2^1375952000 is an apocalyptic number.

1375952000 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 1375952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785326400).

1375952000 is an abundant number, since it is smaller than the sum of its proper divisors (2194700800).

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

1375952000 is an equidigital number, since it uses as much as digits as its factorization.

1375952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3791 (or 3769 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 32.

The square root of 1375952000 is about 37093.8269797011. The cubic root of 1375952000 is about 1112.2466199032.

The spelling of 1375952000 in words is "one billion, three hundred seventy-five million, nine hundred fifty-two thousand".