361125120 has 144 divisors (see below), whose sum is σ = 1162627200. Its totient is φ = 95526912.

The previous prime is 361125119. The next prime is 361125131. The reversal of 361125120 is 21521163.

It is a super-2 number, since 2×361125120² = 260822704590028800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 602581 + ... + 603179.

It is an arithmetic number, because the mean of its divisors is an integer number (8073800).

Almost surely, 2^361125120 is an apocalyptic number.

361125120 is a gapful number since it is divisible by the number (30) 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 361125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581313600).

361125120 is an abundant number, since it is smaller than the sum of its proper divisors (801502080).

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

361125120 is a wasteful number, since it uses less digits than its factorization.

361125120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 361125120 is about 19003.2923463278. The cubic root of 361125120 is about 712.1189886563.

Adding to 361125120 its reverse (21521163), we get a palindrome (382646283).

The spelling of 361125120 in words is "three hundred sixty-one million, one hundred twenty-five thousand, one hundred twenty".