137124100 has 27 divisors (see below), whose sum is σ = 297813621. Its totient is φ = 54802800.

The previous prime is 137124089. The next prime is 137124107. The reversal of 137124100 is 1421731.

The square root of 137124100 is 11710.

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., 49364676 + 87759424 = 7026^2 + 9368^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137124107) 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, 116515 + ... + 117685.

Almost surely, 2^137124100 is an apocalyptic number.

137124100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137124100 is the 11710-th square number.

It is an amenable number.

137124100 is an abundant number, since it is smaller than the sum of its proper divisors (160689521).

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

137124100 is an equidigital number, since it uses as much as digits as its factorization.

137124100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2356 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The cubic root of 137124100 is about 515.6692841060.

Adding to 137124100 its reverse (1421731), we get a palindrome (138545831).

The spelling of 137124100 in words is "one hundred thirty-seven million, one hundred twenty-four thousand, one hundred".