1154949120 has 336 divisors, whose sum is σ = 4329437112. Its totient is φ = 283115520.

The previous prime is 1154949109. The next prime is 1154949161. The reversal of 1154949120 is 219494511.

It is a happy number.

1154949120 is a `hidden beast` number, since 1 + 1 + 549 + 4 + 91 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 862949376 + 291999744 = 29376^2 + 17088^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4792200 + ... + 4792440.

Almost surely, 2^1154949120 is an apocalyptic number.

1154949120 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 1154949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2164718556).

1154949120 is an abundant number, since it is smaller than the sum of its proper divisors (3174487992).

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

1154949120 is a wasteful number, since it uses less digits than its factorization.

1154949120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1154949120 is about 33984.5423685534. The cubic root of 1154949120 is about 1049.1903418170.

The spelling of 1154949120 in words is "one billion, one hundred fifty-four million, nine hundred forty-nine thousand, one hundred twenty".