1364135520 has 384 divisors, whose sum is σ = 5016453120. Its totient is φ = 308295680.

The previous prime is 1364135503. The next prime is 1364135527. The reversal of 1364135520 is 255314631.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1364135527) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5707561 + ... + 5707799.

It is an arithmetic number, because the mean of its divisors is an integer number (13063680).

Almost surely, 2^1364135520 is an apocalyptic number.

1364135520 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 1364135520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2508226560).

1364135520 is an abundant number, since it is smaller than the sum of its proper divisors (3652317600).

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

1364135520 is a wasteful number, since it uses less digits than its factorization.

1364135520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 1364135520 is about 36934.2052845327. The cubic root of 1364135520 is about 1109.0535231915.

The spelling of 1364135520 in words is "one billion, three hundred sixty-four million, one hundred thirty-five thousand, five hundred twenty".