1153231600 has 120 divisors (see below), whose sum is σ = 2988402480. Its totient is φ = 426240000.

The previous prime is 1153231591. The next prime is 1153231627. The reversal of 1153231600 is 61323511.

It is a happy number.

It is a congruent number.

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, 309750 + ... + 313450.

It is an arithmetic number, because the mean of its divisors is an integer number (24903354).

Almost surely, 2^1153231600 is an apocalyptic number.

1153231600 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 1153231600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494201240).

1153231600 is an abundant number, since it is smaller than the sum of its proper divisors (1835170880).

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

1153231600 is a wasteful number, since it uses less digits than its factorization.

1153231600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3779 (or 3768 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 1153231600 is about 33959.2638318324. The cubic root of 1153231600 is about 1048.6700016118.

It can be divided in two parts, 1153231 and 600, that multiplied together give a triangular number (691938600 = T₃₇₂₀₀).

The spelling of 1153231600 in words is "one billion, one hundred fifty-three million, two hundred thirty-one thousand, six hundred".