137007281 has 16 divisors (see below), whose sum is σ = 147646800. Its totient is φ = 126873600.

The previous prime is 137007257. The next prime is 137007289. The reversal of 137007281 is 182700731.

It can be written as a sum of positive squares in 8 ways, for example, as 41280625 + 95726656 = 6425^2 + 9784^2 .

It is a cyclic number.

It is not a de Polignac number, because 137007281 - 2⁶ = 137007217 is a prime.

It is a super-2 number, since 2×137007281² = 37541990094025922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137007289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71585 + ... + 73473.

It is an arithmetic number, because the mean of its divisors is an integer number (9227925).

Almost surely, 2^137007281 is an apocalyptic number.

It is an amenable number.

137007281 is a deficient number, since it is larger than the sum of its proper divisors (10639519).

137007281 is a wasteful number, since it uses less digits than its factorization.

137007281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2020.

The product of its (nonzero) digits is 2352, while the sum is 29.

The square root of 137007281 is about 11705.0109354925. The cubic root of 137007281 is about 515.5228058799.

The spelling of 137007281 in words is "one hundred thirty-seven million, seven thousand, two hundred eighty-one".