381853537137 has 6 divisors (see below), whose sum is σ = 551566220322. Its totient is φ = 254569024752.

The previous prime is 381853537097. The next prime is 381853537157. The reversal of 381853537137 is 731735358183.

381853537137 is a `hidden beast` number, since 3 + 8 + 1 + 8 + 535 + 3 + 71 + 37 = 666.

381853537137 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 271148276961 + 110705260176 = 520719^2 + 332724^2 .

It is not a de Polignac number, because 381853537137 - 2¹² = 381853533041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (381853537157) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21214085388 + ... + 21214085405.

It is an arithmetic number, because the mean of its divisors is an integer number (91927703387).

Almost surely, 2^381853537137 is an apocalyptic number.

It is an amenable number.

381853537137 is a deficient number, since it is larger than the sum of its proper divisors (169712683185).

381853537137 is a wasteful number, since it uses less digits than its factorization.

381853537137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42428170799 (or 42428170796 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The spelling of 381853537137 in words is "three hundred eighty-one billion, eight hundred fifty-three million, five hundred thirty-seven thousand, one hundred thirty-seven".