1349414136 has 192 divisors, whose sum is σ = 4312152000. Its totient is φ = 381024000.

The previous prime is 1349414111. The next prime is 1349414147. The reversal of 1349414136 is 6314149431.

1349414136 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1349414136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2494026 + ... + 2494566.

It is an arithmetic number, because the mean of its divisors is an integer number (22459125).

Almost surely, 2^1349414136 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 1349414136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2156076000).

1349414136 is an abundant number, since it is smaller than the sum of its proper divisors (2962737864).

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

1349414136 is a wasteful number, since it uses less digits than its factorization.

1349414136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 654 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 1349414136 is about 36734.3726773713. The cubic root of 1349414136 is about 1105.0495493161.

The spelling of 1349414136 in words is "one billion, three hundred forty-nine million, four hundred fourteen thousand, one hundred thirty-six".