1002136320 has 288 divisors, whose sum is σ = 3602672640. Its totient is φ = 263761920.

The previous prime is 1002136313. The next prime is 1002136327. The reversal of 1002136320 is 236312001.

1002136320 is a `hidden beast` number, since 10 + 0 + 21 + 3 + 632 + 0 = 666.

1002136320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1002136313) and next prime (1002136327).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1002136293 and 1002136302.

It is not an unprimeable number, because it can be changed into a prime (1002136327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3697785 + ... + 3698055.

It is an arithmetic number, because the mean of its divisors is an integer number (12509280).

Almost surely, 2^1002136320 is an apocalyptic number.

1002136320 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 1002136320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801336320).

1002136320 is an abundant number, since it is smaller than the sum of its proper divisors (2600536320).

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

1002136320 is a wasteful number, since it uses less digits than its factorization.

1002136320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1002136320 is about 31656.5367657298. The cubic root of 1002136320 is about 1000.7116001718.

Adding to 1002136320 its reverse (236312001), we get a palindrome (1238448321).

The spelling of 1002136320 in words is "one billion, two million, one hundred thirty-six thousand, three hundred twenty".