1148276736 has 130 divisors (see below), whose sum is σ = 3431226282. Its totient is φ = 382648320.

The previous prime is 1148276711. The next prime is 1148276743. The reversal of 1148276736 is 6376728411.

It can be written as a sum of positive squares in only one way, i.e., 829440000 + 318836736 = 28800^2 + 17856^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1148276691 and 1148276700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 330046 + ... + 333506.

Almost surely, 2^1148276736 is an apocalyptic number.

1148276736 is a gapful number since it is divisible by the number (16) 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 1148276736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715613141).

1148276736 is an abundant number, since it is smaller than the sum of its proper divisors (2282949546).

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

1148276736 is an frugal number, since it uses more digits than its factorization.

1148276736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3497 (or 3466 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 1148276736 is about 33886.2322485106. The cubic root of 1148276736 is about 1047.1659739670.

The spelling of 1148276736 in words is "one billion, one hundred forty-eight million, two hundred seventy-six thousand, seven hundred thirty-six".