1357200 has 180 divisors, whose sum is σ = 5247060. Its totient is φ = 322560.

The previous prime is 1357193. The next prime is 1357201. The reversal of 1357200 is 27531.

It can be written as a sum of positive squares in 6 ways, for example, as 138384 + 1218816 = 372^2 + 1104^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (1357201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46786 + ... + 46814.

2^1357200 is an apocalyptic number.

1357200 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 1357200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2623530).

1357200 is an abundant number, since it is smaller than the sum of its proper divisors (3889860).

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

1357200 is a wasteful number, since it uses less digits than its factorization.

1357200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 1357200 is about 1164.9892703369. The cubic root of 1357200 is about 110.7170783697.

The spelling of 1357200 in words is "one million, three hundred fifty-seven thousand, two hundred".