137321541 has 64 divisors (see below), whose sum is σ = 242956800. Its totient is φ = 75022848.

The previous prime is 137321521. The next prime is 137321549. The reversal of 137321541 is 145123731.

It is not a de Polignac number, because 137321541 - 2¹¹ = 137319493 is a prime.

It is a super-2 number, since 2×137321541² = 37714411245229362, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137321549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 510355 + ... + 510623.

It is an arithmetic number, because the mean of its divisors is an integer number (3796200).

Almost surely, 2^137321541 is an apocalyptic number.

It is an amenable number.

137321541 is a deficient number, since it is larger than the sum of its proper divisors (105635259).

137321541 is a wasteful number, since it uses less digits than its factorization.

137321541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 389 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 137321541 is about 11718.4274115600. The cubic root of 137321541 is about 515.9166644758.

The spelling of 137321541 in words is "one hundred thirty-seven million, three hundred twenty-one thousand, five hundred forty-one".