137983400 has 24 divisors (see below), whose sum is σ = 320811870. Its totient is φ = 55193280.

The previous prime is 137983393. The next prime is 137983423. The reversal of 137983400 is 4389731.

It can be written as a sum of positive squares in 3 ways, for example, as 126382564 + 11600836 = 11242^2 + 3406^2 .

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 5 ways as a sum of consecutive naturals, for example, 344759 + ... + 345158.

Almost surely, 2^137983400 is an apocalyptic number.

137983400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137983400 is an abundant number, since it is smaller than the sum of its proper divisors (182828470).

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

137983400 is a wasteful number, since it uses less digits than its factorization.

137983400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689933 (or 689924 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 137983400 is about 11746.6335603014. The cubic root of 137983400 is about 516.7442038795.

The spelling of 137983400 in words is "one hundred thirty-seven million, nine hundred eighty-three thousand, four hundred".