137392447200 has 288 divisors, whose sum is σ = 456352791552. Its totient is φ = 35894016000.

The previous prime is 137392447193. The next prime is 137392447201. The reversal of 137392447200 is 2744293731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137392447201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39672669 + ... + 39676131.

It is an arithmetic number, because the mean of its divisors is an integer number (1584558304).

Almost surely, 2^137392447200 is an apocalyptic number.

137392447200 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 137392447200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228176395776).

137392447200 is an abundant number, since it is smaller than the sum of its proper divisors (318960344352).

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

137392447200 is a wasteful number, since it uses less digits than its factorization.

137392447200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3818 (or 3805 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The spelling of 137392447200 in words is "one hundred thirty-seven billion, three hundred ninety-two million, four hundred forty-seven thousand, two hundred".