361125000 has 224 divisors, whose sum is σ = 1265608800. Its totient is φ = 95400000.

The previous prime is 361124989. The next prime is 361125059. The reversal of 361125000 is 521163.

361125000 is a `hidden beast` number, since 3 + 611 + 2 + 50 + 0 + 0 = 666.

It is a super-2 number, since 2×361125000² = 260822531250000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a zygodrome in base 6.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3374947 + ... + 3375053.

Almost surely, 2^361125000 is an apocalyptic number.

361125000 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 361125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632804400).

361125000 is an abundant number, since it is smaller than the sum of its proper divisors (904483800).

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

361125000 is an equidigital number, since it uses as much as digits as its factorization.

361125000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 361125000 is about 19003.2891889799. The cubic root of 361125000 is about 712.1189097785.

Adding to 361125000 its reverse (521163), we get a palindrome (361646163).

The spelling of 361125000 in words is "three hundred sixty-one million, one hundred twenty-five thousand".