137415042 has 42 divisors (see below), whose sum is σ = 310052403. Its totient is φ = 45655812.

The previous prime is 137415017. The next prime is 137415181. The reversal of 137415042 is 240514731.

It can be written as a sum of positive squares in only one way, i.e., 68707521 + 68707521 = 8289^2 + 8289^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=8289.

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

It is a junction number, because it is equal to n+sod(n) for n = 137414997 and 137415015.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 447453 + ... + 447759.

Almost surely, 2^137415042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137415042

137415042 is an abundant number, since it is smaller than the sum of its proper divisors (172637361).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137415042 is an frugal number, since it uses more digits than its factorization.

137415042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 137415042 is about 11722.4162185106. The cubic root of 137415042 is about 516.0337322458.

Adding to 137415042 its reverse (240514731), we get a palindrome (377929773).

The spelling of 137415042 in words is "one hundred thirty-seven million, four hundred fifteen thousand, forty-two".