1148506272 has 144 divisors (see below), whose sum is σ = 3347023680. Its totient is φ = 373456896.

The previous prime is 1148506267. The next prime is 1148506279. The reversal of 1148506272 is 2726058411.

1148506272 is a `hidden beast` number, since 1 + 148 + 506 + 2 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1148506279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4366813 + ... + 4367075.

It is an arithmetic number, because the mean of its divisors is an integer number (23243220).

Almost surely, 2^1148506272 is an apocalyptic number.

1148506272 is a gapful number since it is divisible by the number (12) 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 1148506272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673511840).

1148506272 is an abundant number, since it is smaller than the sum of its proper divisors (2198517408).

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

1148506272 is a wasteful number, since it uses less digits than its factorization.

1148506272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1148506272 is about 33889.6189414989. The cubic root of 1148506272 is about 1047.2357441038.

The spelling of 1148506272 in words is "one billion, one hundred forty-eight million, five hundred six thousand, two hundred seventy-two".