1148652900 has 180 divisors, whose sum is σ = 3760527540. Its totient is φ = 303264000.

The previous prime is 1148652893. The next prime is 1148652907. The reversal of 1148652900 is 92568411.

It is an interprime number because it is at equal distance from previous prime (1148652893) and next prime (1148652907).

It can be written as a sum of positive squares in 6 ways, for example, as 185667876 + 962985024 = 13626^2 + 31032^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 (1148652907) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 882250 + ... + 883550.

Almost surely, 2^1148652900 is an apocalyptic number.

1148652900 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 1148652900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880263770).

1148652900 is an abundant number, since it is smaller than the sum of its proper divisors (2611874640).

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

1148652900 is a wasteful number, since it uses less digits than its factorization.

1148652900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1148652900 is about 33891.7821897875. The cubic root of 1148652900 is about 1047.2803085241.

The spelling of 1148652900 in words is "one billion, one hundred forty-eight million, six hundred fifty-two thousand, nine hundred".