137727720 has 96 divisors (see below), whose sum is σ = 482063400. Its totient is φ = 33901056.

The previous prime is 137727683. The next prime is 137727721. The reversal of 137727720 is 27727731.

It can be written as a sum of positive squares in 4 ways, for example, as 116769636 + 20958084 = 10806^2 + 4578^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (137727721) 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 23 ways as a sum of consecutive naturals, for example, 10035 + ... + 19394.

Almost surely, 2^137727720 is an apocalyptic number.

137727720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137727720 is an abundant number, since it is smaller than the sum of its proper divisors (344335680).

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

137727720 is a wasteful number, since it uses less digits than its factorization.

137727720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29459 (or 29452 counting only the distinct ones).

The product of its (nonzero) digits is 28812, while the sum is 36.

The square root of 137727720 is about 11735.7453960113. The cubic root of 137727720 is about 516.4248349120.

The spelling of 137727720 in words is "one hundred thirty-seven million, seven hundred twenty-seven thousand, seven hundred twenty".