1349138700 has 864 divisors, whose sum is σ = 5969062400. Its totient is φ = 253808640.

The previous prime is 1349138617. The next prime is 1349138701. The reversal of 1349138700 is 78319431.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1349138701) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 71007291 + ... + 71007309.

Almost surely, 2^1349138700 is an apocalyptic number.

1349138700 is a gapful number since it is divisible by the number (10) 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 1349138700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2984531200).

1349138700 is an abundant number, since it is smaller than the sum of its proper divisors (4619923700).

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

1349138700 is a wasteful number, since it uses less digits than its factorization.

1349138700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1349138700 is about 36730.6234632629. The cubic root of 1349138700 is about 1104.9743583793.

The spelling of 1349138700 in words is "one billion, three hundred forty-nine million, one hundred thirty-eight thousand, seven hundred".