1153077120 has 640 divisors, whose sum is σ = 4665276000. Its totient is φ = 269402112.

The previous prime is 1153077109. The next prime is 1153077137. The reversal of 1153077120 is 217703511.

It is a happy number.

1153077120 is a `hidden beast` number, since 1 + 1 + 530 + 7 + 7 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19543651 + ... + 19543709.

Almost surely, 2^1153077120 is an apocalyptic number.

1153077120 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 1153077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2332638000).

1153077120 is an abundant number, since it is smaller than the sum of its proper divisors (3512198880).

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

1153077120 is a wasteful number, since it uses less digits than its factorization.

1153077120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 1153077120 is about 33956.9892658345. The cubic root of 1153077120 is about 1048.6231750028.

The spelling of 1153077120 in words is "one billion, one hundred fifty-three million, seventy-seven thousand, one hundred twenty".