137827600 has 45 divisors (see below), whose sum is σ = 331695877. Its totient is φ = 55037120.

The previous prime is 137827597. The next prime is 137827607. The reversal of 137827600 is 6728731.

The square root of 137827600 is 11740.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 49617936 + 88209664 = 7044^2 + 9392^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137827607) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 234507 + ... + 235093.

Almost surely, 2^137827600 is an apocalyptic number.

137827600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137827600 is the 11740-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137827600

137827600 is an abundant number, since it is smaller than the sum of its proper divisors (193868277).

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

137827600 is an frugal number, since it uses more digits than its factorization.

137827600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The cubic root of 137827600 is about 516.5496416656.

The spelling of 137827600 in words is "one hundred thirty-seven million, eight hundred twenty-seven thousand, six hundred".