137066800 has 120 divisors (see below), whose sum is σ = 363473264. Its totient is φ = 49351680.

The previous prime is 137066749. The next prime is 137066807. The reversal of 137066800 is 8660731.

137066800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (137066807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 223294 + ... + 223906.

Almost surely, 2^137066800 is an apocalyptic number.

137066800 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 137066800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181736632).

137066800 is an abundant number, since it is smaller than the sum of its proper divisors (226406464).

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

137066800 is a wasteful number, since it uses less digits than its factorization.

137066800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 137066800 is about 11707.5531175391. The cubic root of 137066800 is about 515.5974465840.

The spelling of 137066800 in words is "one hundred thirty-seven million, sixty-six thousand, eight hundred".