137091042 has 80 divisors (see below), whose sum is σ = 352836000. Its totient is φ = 39346560.

The previous prime is 137091013. The next prime is 137091047. The reversal of 137091042 is 240190731.

137091042 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 137090997 and 137091015.

It is not an unprimeable number, because it can be changed into a prime (137091047) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31834 + ... + 35882.

It is an arithmetic number, because the mean of its divisors is an integer number (4410450).

Almost surely, 2^137091042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137091042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176418000).

137091042 is an abundant number, since it is smaller than the sum of its proper divisors (215744958).

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

137091042 is a wasteful number, since it uses less digits than its factorization.

137091042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4093 (or 4084 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 137091042 is about 11708.5883863086. The cubic root of 137091042 is about 515.6278414389.

The spelling of 137091042 in words is "one hundred thirty-seven million, ninety-one thousand, forty-two".