1153245600 has 540 divisors, whose sum is σ = 4654893474. Its totient is φ = 276203520.

The previous prime is 1153245593. The next prime is 1153245617. The reversal of 1153245600 is 65423511.

1153245600 is a `hidden beast` number, since 1 + 1 + 53 + 2 + 4 + 5 + 600 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 275427216 + 877818384 = 16596^2 + 29628^2 .

It is a tau number, because it is divible by the number of its divisors (540).

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

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 31168782 + ... + 31168818.

Almost surely, 2^1153245600 is an apocalyptic number.

1153245600 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 1153245600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327446737).

1153245600 is an abundant number, since it is smaller than the sum of its proper divisors (3501647874).

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

1153245600 is a wasteful number, since it uses less digits than its factorization.

1153245600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1153245600 is about 33959.4699605279. The cubic root of 1153245600 is about 1048.6742451424.

It can be divided in two parts, 1153 and 245600, that added together give a triangular number (246753 = T₇₀₂).

The spelling of 1153245600 in words is "one billion, one hundred fifty-three million, two hundred forty-five thousand, six hundred".