137466841120 has 192 divisors, whose sum is σ = 377306899200. Its totient is φ = 46357401600.

The previous prime is 137466841067. The next prime is 137466841121. The reversal of 137466841120 is 21148664731.

It is a super-2 number, since 2×137466841120² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137466841121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16965070 + ... + 16973170.

It is an arithmetic number, because the mean of its divisors is an integer number (1965140100).

Almost surely, 2^137466841120 is an apocalyptic number.

137466841120 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 137466841120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188653449600).

137466841120 is an abundant number, since it is smaller than the sum of its proper divisors (239840058080).

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

137466841120 is a wasteful number, since it uses less digits than its factorization.

137466841120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8371 (or 8363 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 137466841120 in words is "one hundred thirty-seven billion, four hundred sixty-six million, eight hundred forty-one thousand, one hundred twenty".