1359649152 has 144 divisors (see below), whose sum is σ = 4065317100. Its totient is φ = 452936448.

The previous prime is 1359649141. The next prime is 1359649153. The reversal of 1359649152 is 2519469531.

1359649152 is a `hidden beast` number, since 1 + 3 + 596 + 4 + 9 + 1 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 1359649098 and 1359649107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1359649153) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 838999 + ... + 840617.

Almost surely, 2^1359649152 is an apocalyptic number.

1359649152 is a gapful number since it is divisible by the number (12) 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 1359649152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032658550).

1359649152 is an abundant number, since it is smaller than the sum of its proper divisors (2705667948).

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

1359649152 is an frugal number, since it uses more digits than its factorization.

1359649152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1657 (or 1624 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The square root of 1359649152 is about 36873.4206712640. The cubic root of 1359649152 is about 1107.8363697246.

The spelling of 1359649152 in words is "one billion, three hundred fifty-nine million, six hundred forty-nine thousand, one hundred fifty-two".