137252242640 has 160 divisors (see below), whose sum is σ = 327415234560. Its totient is φ = 53495769600.

The previous prime is 137252242613. The next prime is 137252242643. The reversal of 137252242640 is 46242252731.

It is a junction number, because it is equal to n+sod(n) for n = 137252242594 and 137252242603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137252242643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217515125 + ... + 217515755.

It is an arithmetic number, because the mean of its divisors is an integer number (2046345216).

Almost surely, 2^137252242640 is an apocalyptic number.

137252242640 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 137252242640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163707617280).

137252242640 is an abundant number, since it is smaller than the sum of its proper divisors (190162991920).

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

137252242640 is a wasteful number, since it uses less digits than its factorization.

137252242640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 38.

The spelling of 137252242640 in words is "one hundred thirty-seven billion, two hundred fifty-two million, two hundred forty-two thousand, six hundred forty".