1153314540 has 144 divisors (see below), whose sum is σ = 4011029568. Its totient is φ = 262766592.

The previous prime is 1153314523. The next prime is 1153314541. The reversal of 1153314540 is 454133511.

It is a happy number.

1153314540 is a `hidden beast` number, since 115 + 3 + 3 + 1 + 4 + 540 = 666.

It is not an unprimeable number, because it can be changed into a prime (1153314541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 443484 + ... + 446076.

It is an arithmetic number, because the mean of its divisors is an integer number (27854372).

Almost surely, 2^1153314540 is an apocalyptic number.

1153314540 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 1153314540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2005514784).

1153314540 is an abundant number, since it is smaller than the sum of its proper divisors (2857715028).

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

1153314540 is a wasteful number, since it uses less digits than its factorization.

1153314540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2968 (or 2963 counting only the distinct ones).

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

The square root of 1153314540 is about 33960.4849788692. The cubic root of 1153314540 is about 1048.6951409984.

The spelling of 1153314540 in words is "one billion, one hundred fifty-three million, three hundred fourteen thousand, five hundred forty".