1875133440 has 132 divisors (see below), whose sum is σ = 6497448204. Its totient is φ = 500023296.

The previous prime is 1875133411. The next prime is 1875133441. The reversal of 1875133440 is 443315781.

It is a happy number.

1875133440 is a `hidden beast` number, since 1 + 87 + 5 + 133 + 440 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 707134464 + 1167998976 = 26592^2 + 34176^2 .

It is a super-2 number, since 2×1875133440² = 7032250835612467200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1875133395 and 1875133404.

It is not an unprimeable number, because it can be changed into a prime (1875133441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25734 + ... + 66426.

Almost surely, 2^1875133440 is an apocalyptic number.

1875133440 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 1875133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3248724102).

1875133440 is an abundant number, since it is smaller than the sum of its proper divisors (4622314764).

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

1875133440 is a wasteful number, since it uses less digits than its factorization.

1875133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40724 (or 40703 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1875133440 is about 43302.8109942068. The cubic root of 1875133440 is about 1233.1352890348.

The spelling of 1875133440 in words is "one billion, eight hundred seventy-five million, one hundred thirty-three thousand, four hundred forty".