137740240 has 80 divisors (see below), whose sum is σ = 351602496. Its totient is φ = 49766400.

The previous prime is 137740231. The next prime is 137740259. The reversal of 137740240 is 42047731.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 137740199 and 137740208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169435 + ... + 170245.

Almost surely, 2^137740240 is an apocalyptic number.

137740240 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 137740240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175801248).

137740240 is an abundant number, since it is smaller than the sum of its proper divisors (213862256).

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

137740240 is a wasteful number, since it uses less digits than its factorization.

137740240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1022 counting only the distinct ones).

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

The square root of 137740240 is about 11736.2787969612. The cubic root of 137740240 is about 516.4404827981.

Adding to 137740240 its reverse (42047731), we get a palindrome (179787971).

The spelling of 137740240 in words is "one hundred thirty-seven million, seven hundred forty thousand, two hundred forty".