1357138944 has 264 divisors, whose sum is σ = 4543029920. Its totient is φ = 382205952.

The previous prime is 1357138933. The next prime is 1357138949. The reversal of 1357138944 is 4498317531.

1357138944 is a `hidden beast` number, since 1 + 3 + 571 + 38 + 9 + 44 = 666.

It is a super-2 number, since 2×1357138944² = 3683652226642870272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1357138944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1357138949) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7031712 + ... + 7031904.

Almost surely, 2^1357138944 is an apocalyptic number.

1357138944 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 1357138944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2271514960).

1357138944 is an abundant number, since it is smaller than the sum of its proper divisors (3185890976).

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

1357138944 is a wasteful number, since it uses less digits than its factorization.

1357138944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 314 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 1357138944 is about 36839.3667698021. The cubic root of 1357138944 is about 1107.1541807807.

The spelling of 1357138944 in words is "one billion, three hundred fifty-seven million, one hundred thirty-eight thousand, nine hundred forty-four".