1154049120 has 240 divisors, whose sum is σ = 4655030688. Its totient is φ = 263761920.

The previous prime is 1154049103. The next prime is 1154049137. The reversal of 1154049120 is 219404511.

1154049120 is a `hidden beast` number, since 1 + 154 + 0 + 491 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (1154049103) and next prime (1154049137).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 84360 + ... + 97080.

Almost surely, 2^1154049120 is an apocalyptic number.

1154049120 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 1154049120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327515344).

1154049120 is an abundant number, since it is smaller than the sum of its proper divisors (3500981568).

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

1154049120 is a wasteful number, since it uses less digits than its factorization.

1154049120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12755 (or 12738 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1154049120 is about 33971.2984738588. The cubic root of 1154049120 is about 1048.9177420191.

The spelling of 1154049120 in words is "one billion, one hundred fifty-four million, forty-nine thousand, one hundred twenty".