137449200 has 120 divisors (see below), whose sum is σ = 503225728. Its totient is φ = 31415040.

The previous prime is 137449187. The next prime is 137449201. The reversal of 137449200 is 2944731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137449201) 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, 219 + ... + 16581.

Almost surely, 2^137449200 is an apocalyptic number.

137449200 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 137449200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251612864).

137449200 is an abundant number, since it is smaller than the sum of its proper divisors (365776528).

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

137449200 is a wasteful number, since it uses less digits than its factorization.

137449200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16391 (or 16380 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 137449200 is about 11723.8730801728. The cubic root of 137449200 is about 516.0764864685.

The spelling of 137449200 in words is "one hundred thirty-seven million, four hundred forty-nine thousand, two hundred".