137131241300 has 72 divisors (see below), whose sum is σ = 300104276472. Its totient is φ = 54388224000.

The previous prime is 137131241287. The next prime is 137131241311. The reversal of 137131241300 is 3142131731.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 90684095044 + 46447146256 = 301138^2 + 215516^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 137131241300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5603090 + ... + 5627510.

It is an arithmetic number, because the mean of its divisors is an integer number (4168114951).

Almost surely, 2^137131241300 is an apocalyptic number.

137131241300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137131241300 is an abundant number, since it is smaller than the sum of its proper divisors (162973035172).

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

137131241300 is a wasteful number, since it uses less digits than its factorization.

137131241300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24909 (or 24902 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The spelling of 137131241300 in words is "one hundred thirty-seven billion, one hundred thirty-one million, two hundred forty-one thousand, three hundred".