137127642 has 16 divisors (see below), whose sum is σ = 279430560. Its totient is φ = 44846672.

The previous prime is 137127637. The next prime is 137127671. The reversal of 137127642 is 246721731.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax 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 7 ways as a sum of consecutive naturals, for example, 215292 + ... + 215927.

It is an arithmetic number, because the mean of its divisors is an integer number (17464410).

Almost surely, 2^137127642 is an apocalyptic number.

137127642 is an abundant number, since it is smaller than the sum of its proper divisors (142302918).

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

137127642 is a wasteful number, since it uses less digits than its factorization.

137127642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431277.

The product of its digits is 14112, while the sum is 33.

The square root of 137127642 is about 11710.1512372813. The cubic root of 137127642 is about 515.6737240862.

The spelling of 137127642 in words is "one hundred thirty-seven million, one hundred twenty-seven thousand, six hundred forty-two".