137242740 has 48 divisors (see below), whose sum is σ = 386664768. Its totient is φ = 36370944.

The previous prime is 137242727. The next prime is 137242747. The reversal of 137242740 is 47242731.

137242740 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 137242698 and 137242707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137242747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2764 + ... + 16796.

It is an arithmetic number, because the mean of its divisors is an integer number (8055516).

Almost surely, 2^137242740 is an apocalyptic number.

137242740 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 137242740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193332384).

137242740 is an abundant number, since it is smaller than the sum of its proper divisors (249422028).

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

137242740 is a wasteful number, since it uses less digits than its factorization.

137242740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14208 (or 14206 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 137242740 is about 11715.0646605130. The cubic root of 137242740 is about 515.8179605440.

Subtracting from 137242740 its reverse (47242731), we obtain a palindrome (90000009).

The spelling of 137242740 in words is "one hundred thirty-seven million, two hundred forty-two thousand, seven hundred forty".