1275145600 has 96 divisors (see below), whose sum is σ = 3188624040. Its totient is φ = 503808000.

The previous prime is 1275145589. The next prime is 1275145601. The reversal of 1275145600 is 65415721.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1275145601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 263200 + ... + 268000.

Almost surely, 2^1275145600 is an apocalyptic number.

1275145600 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 1275145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594312020).

1275145600 is an abundant number, since it is smaller than the sum of its proper divisors (1913478440).

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

1275145600 is an equidigital number, since it uses as much as digits as its factorization.

1275145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4908 (or 4891 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 1275145600 is about 35709.1808923140. The cubic root of 1275145600 is about 1084.3927172815.

The spelling of 1275145600 in words is "one billion, two hundred seventy-five million, one hundred forty-five thousand, six hundred".