137720123200 has 168 divisors, whose sum is σ = 371013557184. Its totient is φ = 49900032000.

The previous prime is 137720123183. The next prime is 137720123231. The reversal of 137720123200 is 2321027731.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4931677 + ... + 4959523.

Almost surely, 2^137720123200 is an apocalyptic number.

137720123200 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 137720123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185506778592).

137720123200 is an abundant number, since it is smaller than the sum of its proper divisors (233293433984).

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

137720123200 is a wasteful number, since it uses less digits than its factorization.

137720123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28161 (or 28146 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The spelling of 137720123200 in words is "one hundred thirty-seven billion, seven hundred twenty million, one hundred twenty-three thousand, two hundred".