137042740 has 36 divisors (see below), whose sum is σ = 300869604. Its totient is φ = 52429696.

The previous prime is 137042713. The next prime is 137042747. The reversal of 137042740 is 47240731.

It can be written as a sum of positive squares in 2 ways, for example, as 28965924 + 108076816 = 5382^2 + 10396^2 .

It is a junction number, because it is equal to n+sod(n) for n = 137042699 and 137042708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137042747) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4104 + ... + 17056.

It is an arithmetic number, because the mean of its divisors is an integer number (8357489).

Almost surely, 2^137042740 is an apocalyptic number.

137042740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137042740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150434802).

137042740 is an abundant number, since it is smaller than the sum of its proper divisors (163826864).

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

137042740 is a wasteful number, since it uses less digits than its factorization.

137042740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13008 (or 12983 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 137042740 is about 11706.5255306602. The cubic root of 137042740 is about 515.5672763787.

The spelling of 137042740 in words is "one hundred thirty-seven million, forty-two thousand, seven hundred forty".