355140 has 36 divisors (see below), whose sum is σ = 1077804. Its totient is φ = 94656.

The previous prime is 355139. The next prime is 355171. The reversal of 355140 is 41553.

It can be written as a sum of positive squares in 2 ways, for example, as 101124 + 254016 = 318^2 + 504^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×355140² = 252248839200, which contains 22 as substring.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 355140.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 807 + ... + 1166.

It is an arithmetic number, because the mean of its divisors is an integer number (29939).

2³⁵⁵¹⁴⁰ is an apocalyptic number.

355140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

355140 is an abundant number, since it is smaller than the sum of its proper divisors (722664).

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

355140 is a wasteful number, since it uses less digits than its factorization.

355140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 355140 is about 595.9362382000. The cubic root of 355140 is about 70.8162942483.

Adding to 355140 its reverse (41553), we get a palindrome (396693).

The spelling of 355140 in words is "three hundred fifty-five thousand, one hundred forty".