1361575152 has 180 divisors, whose sum is σ = 4693802256. Its totient is φ = 366105600.

The previous prime is 1361575151. The next prime is 1361575157. The reversal of 1361575152 is 2515751631.

It is a happy number.

1361575152 is a `hidden beast` number, since 1 + 36 + 1 + 575 + 1 + 52 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361575151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 114277 + ... + 125627.

Almost surely, 2^1361575152 is an apocalyptic number.

1361575152 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 1361575152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2346901128).

1361575152 is an abundant number, since it is smaller than the sum of its proper divisors (3332227104).

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

1361575152 is a wasteful number, since it uses less digits than its factorization.

1361575152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11396 (or 11380 counting only the distinct ones).

The product of its digits is 31500, while the sum is 36.

The square root of 1361575152 is about 36899.5278018568. The cubic root of 1361575152 is about 1108.3592218022.

The spelling of 1361575152 in words is "one billion, three hundred sixty-one million, five hundred seventy-five thousand, one hundred fifty-two".