137673400 has 72 divisors (see below), whose sum is σ = 335949480. Its totient is φ = 52370560.

The previous prime is 137673397. The next prime is 137673413. The reversal of 137673400 is 4376731.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 795714 + ... + 795886.

It is an arithmetic number, because the mean of its divisors is an integer number (4665965).

Almost surely, 2^137673400 is an apocalyptic number.

137673400 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 137673400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167974740).

137673400 is an abundant number, since it is smaller than the sum of its proper divisors (198276080).

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

137673400 is a wasteful number, since it uses less digits than its factorization.

137673400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 31.

The square root of 137673400 is about 11733.4308708067. The cubic root of 137673400 is about 516.3569330987.

The spelling of 137673400 in words is "one hundred thirty-seven million, six hundred seventy-three thousand, four hundred".