137141641 has 18 divisors (see below), whose sum is σ = 172758222. Its totient is φ = 108501120.

The previous prime is 137141621. The next prime is 137141651. The reversal of 137141641 is 146141731.

It is a happy number.

137141641 is a nontrivial binomial coefficient, being equal to C(16562, 2).

It can be written as a sum of positive squares in 3 ways, for example, as 10916416 + 126225225 = 3304^2 + 11235^2 .

It is a de Polignac number, because none of the positive numbers 2^k-137141641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137141621) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1 + ... + 16561.

It is an arithmetic number, because the mean of its divisors is an integer number (9597679).

Almost surely, 2^137141641 is an apocalyptic number.

137141641 is the 16561-st triangular number and also the 8281-st hexagonal number.

137141641 is the 5521-st centered nonagonal number.

It is an amenable number.

137141641 is a deficient number, since it is larger than the sum of its proper divisors (35616581).

137141641 is a wasteful number, since it uses less digits than its factorization.

137141641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16601 (or 16581 counting only the distinct ones).

The product of its digits is 2016, while the sum is 28.

The square root of 137141641 is about 11710.7489512840. The cubic root of 137141641 is about 515.6912714134.

It can be divided in two parts, 137 and 141641, that added together give a triangular number (141778 = T₅₃₂).

The spelling of 137141641 in words is "one hundred thirty-seven million, one hundred forty-one thousand, six hundred forty-one".