361520145 has 64 divisors (see below), whose sum is σ = 739338240. Its totient is φ = 164182464.

The previous prime is 361520059. The next prime is 361520149. The reversal of 361520145 is 541025163.

361520145 is a `hidden beast` number, since 3 + 615 + 2 + 0 + 1 + 45 = 666.

It is not a de Polignac number, because 361520145 - 2⁹ = 361519633 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (361520149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 152862 + ... + 155208.

It is an arithmetic number, because the mean of its divisors is an integer number (11552160).

Almost surely, 2^361520145 is an apocalyptic number.

361520145 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

361520145 is an abundant number, since it is smaller than the sum of its proper divisors (377818095).

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

361520145 is a wasteful number, since it uses less digits than its factorization.

361520145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2531 (or 2525 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 361520145 is about 19013.6830992841. The cubic root of 361520145 is about 712.3785499364.

The spelling of 361520145 in words is "three hundred sixty-one million, five hundred twenty thousand, one hundred forty-five".