1350107136 has 272 divisors, whose sum is σ = 4613699200. Its totient is φ = 382205952.

The previous prime is 1350107117. The next prime is 1350107137. The reversal of 1350107136 is 6317010531.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1350107137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12386250 + ... + 12386358.

Almost surely, 2^1350107136 is an apocalyptic number.

1350107136 is a gapful number since it is divisible by the number (16) 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 1350107136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2306849600).

1350107136 is an abundant number, since it is smaller than the sum of its proper divisors (3263592064).

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

1350107136 is an frugal number, since it uses more digits than its factorization.

1350107136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 1350107136 is about 36743.8040491183. The cubic root of 1350107136 is about 1105.2386852927.

Adding to 1350107136 its reverse (6317010531), we get a palindrome (7667117667).

The spelling of 1350107136 in words is "one billion, three hundred fifty million, one hundred seven thousand, one hundred thirty-six".