137355642 has 16 divisors (see below), whose sum is σ = 305234880. Its totient is φ = 45785196.

The previous prime is 137355623. The next prime is 137355649. The reversal of 137355642 is 246553731.

137355642 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 5 + 5 + 642 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 137355597 and 137355606.

It is not an unprimeable number, because it can be changed into a prime (137355649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1271758 + ... + 1271865.

It is an arithmetic number, because the mean of its divisors is an integer number (19077180).

Almost surely, 2^137355642 is an apocalyptic number.

137355642 is an abundant number, since it is smaller than the sum of its proper divisors (167879238).

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

137355642 is a wasteful number, since it uses less digits than its factorization.

137355642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2543634 (or 2543628 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 137355642 is about 11719.8823372933. The cubic root of 137355642 is about 515.9593667300.

The spelling of 137355642 in words is "one hundred thirty-seven million, three hundred fifty-five thousand, six hundred forty-two".