1153657008 has 120 divisors (see below), whose sum is σ = 3699540000. Its totient is φ = 328753152.

The previous prime is 1153657007. The next prime is 1153657051. The reversal of 1153657008 is 8007563511.

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

It is not an unprimeable number, because it can be changed into a prime (1153657007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 451318 + ... + 453866.

It is an arithmetic number, because the mean of its divisors is an integer number (30829500).

Almost surely, 2^1153657008 is an apocalyptic number.

1153657008 is a gapful number since it is divisible by the number (18) 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 1153657008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849770000).

1153657008 is an abundant number, since it is smaller than the sum of its proper divisors (2545882992).

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

1153657008 is a wasteful number, since it uses less digits than its factorization.

1153657008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3019 (or 3010 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 1153657008 is about 33965.5267587594. The cubic root of 1153657008 is about 1048.7989314136.

The spelling of 1153657008 in words is "one billion, one hundred fifty-three million, six hundred fifty-seven thousand, eight".