137406121 has 16 divisors (see below), whose sum is σ = 148191120. Its totient is φ = 126945280.

The previous prime is 137406109. The next prime is 137406131. The reversal of 137406121 is 121604731.

It can be written as a sum of positive squares in 8 ways, for example, as 6051600 + 131354521 = 2460^2 + 11461^2 .

It is a cyclic number.

It is not a de Polignac number, because 137406121 - 2¹¹ = 137404073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137406131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297831 + ... + 298291.

It is an arithmetic number, because the mean of its divisors is an integer number (9261945).

Almost surely, 2^137406121 is an apocalyptic number.

It is an amenable number.

137406121 is a deficient number, since it is larger than the sum of its proper divisors (10784999).

137406121 is a wasteful number, since it uses less digits than its factorization.

137406121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764.

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 137406121 is about 11722.0357020442. The cubic root of 137406121 is about 516.0225650148.

The spelling of 137406121 in words is "one hundred thirty-seven million, four hundred six thousand, one hundred twenty-one".