137985127200 has 108 divisors (see below), whose sum is σ = 486570080178. Its totient is φ = 36796032000.

The previous prime is 137985127097. The next prime is 137985127207. The reversal of 137985127200 is 2721589731.

137985127200 is a `hidden beast` number, since 1 + 379 + 8 + 5 + 1 + 272 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 90699754896 + 47285372304 = 301164^2 + 217452^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (137985127207) by changing a digit.

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, 9575101 + ... + 9589500.

Almost surely, 2^137985127200 is an apocalyptic number.

137985127200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137985127200 is an abundant number, since it is smaller than the sum of its proper divisors (348584952978).

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

137985127200 is a wasteful number, since it uses less digits than its factorization.

137985127200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19164627 (or 19164611 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 137985127200 in words is "one hundred thirty-seven billion, nine hundred eighty-five million, one hundred twenty-seven thousand, two hundred".