1350083152 has 180 divisors, whose sum is σ = 3240348160. Its totient is φ = 542868480.

The previous prime is 1350083123. The next prime is 1350083167. The reversal of 1350083152 is 2513800531.

It is a self number, because there is not a number n which added to its sum of digits gives 1350083152.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10630513 + ... + 10630639.

Almost surely, 2^1350083152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1350083152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620174080).

1350083152 is an abundant number, since it is smaller than the sum of its proper divisors (1890265008).

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

1350083152 is a wasteful number, since it uses less digits than its factorization.

1350083152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 1350083152 is about 36743.4776797189. The cubic root of 1350083152 is about 1105.2321405771.

Adding to 1350083152 its reverse (2513800531), we get a palindrome (3863883683).

The spelling of 1350083152 in words is "one billion, three hundred fifty million, eighty-three thousand, one hundred fifty-two".