137882800 has 60 divisors (see below), whose sum is σ = 361389816. Its totient is φ = 50137600.

The previous prime is 137882777. The next prime is 137882809. The reversal of 137882800 is 8288731.

137882800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 137882800.

It is not an unprimeable number, because it can be changed into a prime (137882809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11269 + ... + 20068.

Almost surely, 2^137882800 is an apocalyptic number.

137882800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137882800 is an abundant number, since it is smaller than the sum of its proper divisors (223507016).

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

137882800 is a wasteful number, since it uses less digits than its factorization.

137882800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31366 (or 31355 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The square root of 137882800 is about 11742.3507016270. The cubic root of 137882800 is about 516.6185918964.

The spelling of 137882800 in words is "one hundred thirty-seven million, eight hundred eighty-two thousand, eight hundred".