137729142 has 12 divisors (see below), whose sum is σ = 298413180. Its totient is φ = 45909708.

The previous prime is 137729099. The next prime is 137729159. The reversal of 137729142 is 241927731.

It is a junction number, because it is equal to n+sod(n) for n = 137729097 and 137729106.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 3825792 + ... + 3825827.

It is an arithmetic number, because the mean of its divisors is an integer number (24867765).

Almost surely, 2^137729142 is an apocalyptic number.

137729142 is an abundant number, since it is smaller than the sum of its proper divisors (160684038).

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

137729142 is a wasteful number, since it uses less digits than its factorization.

137729142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7651627 (or 7651624 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 137729142 is about 11735.8059799913. The cubic root of 137729142 is about 516.4266122197.

The spelling of 137729142 in words is "one hundred thirty-seven million, seven hundred twenty-nine thousand, one hundred forty-two".