387135181 has 16 divisors (see below), whose sum is σ = 412766640. Its totient is φ = 362396160.

The previous prime is 387135173. The next prime is 387135209. The reversal of 387135181 is 181531783.

It can be written as a sum of positive squares in 8 ways, for example, as 7236100 + 379899081 = 2690^2 + 19491^2 .

It is a cyclic number.

It is not a de Polignac number, because 387135181 - 2³ = 387135173 is a prime.

It is a super-2 number, since 2×387135181² = 299747296735805522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

Its product of digits (20160) is a multiple of the sum of its prime divisors (1344).

It is a self number, because there is not a number n which added to its sum of digits gives 387135181.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387133181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 451305 + ... + 452161.

It is an arithmetic number, because the mean of its divisors is an integer number (25797915).

Almost surely, 2^387135181 is an apocalyptic number.

It is an amenable number.

387135181 is a deficient number, since it is larger than the sum of its proper divisors (25631459).

387135181 is a wasteful number, since it uses less digits than its factorization.

387135181 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344.

The product of its digits is 20160, while the sum is 37.

The square root of 387135181 is about 19675.7510911274. The cubic root of 387135181 is about 728.8210036077.

The spelling of 387135181 in words is "three hundred eighty-seven million, one hundred thirty-five thousand, one hundred eighty-one".