137168830400 has 168 divisors, whose sum is σ = 394710391680. Its totient is φ = 45935447040.

The previous prime is 137168830387. The next prime is 137168830453. The reversal of 137168830400 is 4038861731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339191 + ... + 624009.

Almost surely, 2^137168830400 is an apocalyptic number.

137168830400 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 137168830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197355195840).

137168830400 is an abundant number, since it is smaller than the sum of its proper divisors (257541561280).

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

137168830400 is a wasteful number, since it uses less digits than its factorization.

137168830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284891 (or 284876 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The spelling of 137168830400 in words is "one hundred thirty-seven billion, one hundred sixty-eight million, eight hundred thirty thousand, four hundred".