1375133760 has 1120 divisors, whose sum is σ = 6691652352. Its totient is φ = 258785280.

The previous prime is 1375133717. The next prime is 1375133783. The reversal of 1375133760 is 673315731.

It is a happy number.

1375133760 is a `hidden beast` number, since 137 + 513 + 3 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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 159 ways as a sum of consecutive naturals, for example, 25945894 + ... + 25945946.

Almost surely, 2^1375133760 is an apocalyptic number.

1375133760 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 1375133760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3345826176).

1375133760 is an abundant number, since it is smaller than the sum of its proper divisors (5316518592).

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

1375133760 is a wasteful number, since it uses less digits than its factorization.

1375133760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 36.

The square root of 1375133760 is about 37082.7960110885. The cubic root of 1375133760 is about 1112.0261022460.

The spelling of 1375133760 in words is "one billion, three hundred seventy-five million, one hundred thirty-three thousand, seven hundred sixty".