1357724144 has 60 divisors (see below), whose sum is σ = 3064741344. Its totient is φ = 580995072.

The previous prime is 1357724111. The next prime is 1357724149. The reversal of 1357724144 is 4414277531.

It is a junction number, because it is equal to n+sod(n) for n = 1357724098 and 1357724107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1357724149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 953417 + ... + 954839.

Almost surely, 2^1357724144 is an apocalyptic number.

1357724144 is a gapful number since it is divisible by the number (14) 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 1357724144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532370672).

1357724144 is an abundant number, since it is smaller than the sum of its proper divisors (1707017200).

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

1357724144 is a wasteful number, since it uses less digits than its factorization.

1357724144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2662 (or 2649 counting only the distinct ones).

The product of its digits is 94080, while the sum is 38.

The square root of 1357724144 is about 36847.3085041499. The cubic root of 1357724144 is about 1107.3132933328.

The spelling of 1357724144 in words is "one billion, three hundred fifty-seven million, seven hundred twenty-four thousand, one hundred forty-four".