137297561600 has 288 divisors, whose sum is σ = 366771525120. Its totient is φ = 50823168000.

The previous prime is 137297561573. The next prime is 137297561603. The reversal of 137297561600 is 6165792731.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (137297561603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36503720 + ... + 36507480.

It is an arithmetic number, because the mean of its divisors is an integer number (1273512240).

Almost surely, 2^137297561600 is an apocalyptic number.

137297561600 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 137297561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183385762560).

137297561600 is an abundant number, since it is smaller than the sum of its proper divisors (229473963520).

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

137297561600 is a wasteful number, since it uses less digits than its factorization.

137297561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3847 (or 3822 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 47.

The spelling of 137297561600 in words is "one hundred thirty-seven billion, two hundred ninety-seven million, five hundred sixty-one thousand, six hundred".