1350971136 has 288 divisors, whose sum is σ = 4290764800. Its totient is φ = 423263232.

The previous prime is 1350971093. The next prime is 1350971159. The reversal of 1350971136 is 6311790531.

1350971136 is a `hidden beast` number, since 13 + 509 + 7 + 1 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1350971136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10637505 + ... + 10637631.

Almost surely, 2^1350971136 is an apocalyptic number.

1350971136 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 1350971136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2145382400).

1350971136 is an abundant number, since it is smaller than the sum of its proper divisors (2939793664).

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

1350971136 is an frugal number, since it uses more digits than its factorization.

1350971136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 1350971136 is about 36755.5592529892. The cubic root of 1350971136 is about 1105.4744005604.

The spelling of 1350971136 in words is "one billion, three hundred fifty million, nine hundred seventy-one thousand, one hundred thirty-six".