257137920 has 432 divisors, whose sum is σ = 1024510032. Its totient is φ = 58982400.

The previous prime is 257137913. The next prime is 257137921. The reversal of 257137920 is 29731752.

It can be written as a sum of positive squares in 8 ways, for example, as 7750656 + 249387264 = 2784^2 + 15792^2 .

It is a super-2 number, since 2×257137920² = 132239819803852800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257137921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2545870 + ... + 2545970.

It is an arithmetic number, because the mean of its divisors is an integer number (2371551).

Almost surely, 2^257137920 is an apocalyptic number.

257137920 is a gapful number since it is divisible by the number (20) 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 257137920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512255016).

257137920 is an abundant number, since it is smaller than the sum of its proper divisors (767372112).

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

257137920 is a wasteful number, since it uses less digits than its factorization.

257137920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 257137920 is about 16035.5205715312. The cubic root of 257137920 is about 635.8998299580.

It can be divided in two parts, 25713 and 7920, that added together give a palindrome (33633).

The spelling of 257137920 in words is "two hundred fifty-seven million, one hundred thirty-seven thousand, nine hundred twenty".