137640242040 has 128 divisors (see below), whose sum is σ = 472099000320. Its totient is φ = 31447987200.

The previous prime is 137640242029. The next prime is 137640242063. The reversal of 137640242040 is 40242046731.

It is a junction number, because it is equal to n+sod(n) for n = 137640241992 and 137640242010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2144820 + ... + 2208060.

It is an arithmetic number, because the mean of its divisors is an integer number (3688273440).

Almost surely, 2^137640242040 is an apocalyptic number.

137640242040 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 137640242040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236049500160).

137640242040 is an abundant number, since it is smaller than the sum of its proper divisors (334458758280).

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

137640242040 is a wasteful number, since it uses less digits than its factorization.

137640242040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65853 (or 65849 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

Adding to 137640242040 its reverse (40242046731), we get a palindrome (177882288771).

The spelling of 137640242040 in words is "one hundred thirty-seven billion, six hundred forty million, two hundred forty-two thousand, forty".