137794429920000 has 720 divisors, whose sum is σ = 525914533878272. Its totient is φ = 31364997120000.

The previous prime is 137794429919999. The next prime is 137794429920047. The reversal of 137794429920000 is 29924497731.

It is a happy number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 809674917 + ... + 809845083.

Almost surely, 2^{137794429920000} is an apocalyptic number.

137794429920000 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 137794429920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262957266939136).

137794429920000 is an abundant number, since it is smaller than the sum of its proper divisors (388120103958272).

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

137794429920000 is an equidigital number, since it uses as much as digits as its factorization.

137794429920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170454 (or 170425 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 57.

The spelling of 137794429920000 in words is "one hundred thirty-seven trillion, seven hundred ninety-four billion, four hundred twenty-nine million, nine hundred twenty thousand".