1275144948 has 432 divisors, whose sum is σ = 4461649920. Its totient is φ = 299376000.

The previous prime is 1275144943. The next prime is 1275144971. The reversal of 1275144948 is 8494415721.

1275144948 is a `hidden beast` number, since 127 + 514 + 4 + 9 + 4 + 8 = 666.

Its product of digits (322560) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1275144943) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17959753 + ... + 17959823.

Almost surely, 2^1275144948 is an apocalyptic number.

1275144948 is a gapful number since it is divisible by the number (18) 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 1275144948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2230824960).

1275144948 is an abundant number, since it is smaller than the sum of its proper divisors (3186504972).

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

1275144948 is a wasteful number, since it uses less digits than its factorization.

1275144948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 144 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 1275144948 is about 35709.1717630079. The cubic root of 1275144948 is about 1084.3925324597.

The spelling of 1275144948 in words is "one billion, two hundred seventy-five million, one hundred forty-four thousand, nine hundred forty-eight".