1375188480 has 240 divisors, whose sum is σ = 5044257504. Its totient is φ = 345047040.

The previous prime is 1375188449. The next prime is 1375188487. The reversal of 1375188480 is 848815731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1375188480² = 3782286711049420800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1375188487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 389925 + ... + 393435.

Almost surely, 2^1375188480 is an apocalyptic number.

1375188480 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 1375188480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2522128752).

1375188480 is an abundant number, since it is smaller than the sum of its proper divisors (3669069024).

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

1375188480 is a wasteful number, since it uses less digits than its factorization.

1375188480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3557 (or 3538 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 1375188480 is about 37083.5338121922. The cubic root of 1375188480 is about 1112.0408521472.

The spelling of 1375188480 in words is "one billion, three hundred seventy-five million, one hundred eighty-eight thousand, four hundred eighty".