1350193536 has 192 divisors, whose sum is σ = 4085565120. Its totient is φ = 443791872.

The previous prime is 1350193531. The next prime is 1350193543. The reversal of 1350193536 is 6353910531.

1350193536 is a `hidden beast` number, since 1 + 35 + 0 + 1 + 93 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 1350193536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1350193531) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2581371 + ... + 2581893.

It is an arithmetic number, because the mean of its divisors is an integer number (21278985).

Almost surely, 2^1350193536 is an apocalyptic number.

1350193536 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 1350193536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2042782560).

1350193536 is an abundant number, since it is smaller than the sum of its proper divisors (2735371584).

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

1350193536 is an frugal number, since it uses more digits than its factorization.

1350193536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 36450, while the sum is 36.

The square root of 1350193536 is about 36744.9797387344. The cubic root of 1350193536 is about 1105.2622613441.

The spelling of 1350193536 in words is "one billion, three hundred fifty million, one hundred ninety-three thousand, five hundred thirty-six".