1153361952 has 144 divisors (see below), whose sum is σ = 3379259520. Its totient is φ = 372957696.

The previous prime is 1153361927. The next prime is 1153361969. The reversal of 1153361952 is 2591633511.

It is a happy number.

1153361952 is a `hidden beast` number, since 1 + 1 + 5 + 33 + 619 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

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 23 ways as a sum of consecutive naturals, for example, 1881198 + ... + 1881810.

It is an arithmetic number, because the mean of its divisors is an integer number (23467080).

Almost surely, 2^1153361952 is an apocalyptic number.

1153361952 is a gapful number since it is divisible by the number (12) 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 1153361952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689629760).

1153361952 is an abundant number, since it is smaller than the sum of its proper divisors (2225897568).

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

1153361952 is a wasteful number, since it uses less digits than its factorization.

1153361952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 804 counting only the distinct ones).

The product of its digits is 24300, while the sum is 36.

The square root of 1153361952 is about 33961.1830182637. The cubic root of 1153361952 is about 1048.7095111900.

The spelling of 1153361952 in words is "one billion, one hundred fifty-three million, three hundred sixty-one thousand, nine hundred fifty-two".