137505713 has 2 divisors, whose sum is σ = 137505714. Its totient is φ = 137505712.

The previous prime is 137505689. The next prime is 137505749. The reversal of 137505713 is 317505731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 136235584 + 1270129 = 11672^2 + 1127^2 .

It is a cyclic number.

It is not a de Polignac number, because 137505713 - 2⁸ = 137505457 is a prime.

It is a super-2 number, since 2×137505713² = 37815642215276738, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 137505713.

It is not a weakly prime, because it can be changed into another prime (137501713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68752856 + 68752857.

It is an arithmetic number, because the mean of its divisors is an integer number (68752857).

Almost surely, 2^137505713 is an apocalyptic number.

It is an amenable number.

137505713 is a deficient number, since it is larger than the sum of its proper divisors (1).

137505713 is an equidigital number, since it uses as much as digits as its factorization.

137505713 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11025, while the sum is 32.

The square root of 137505713 is about 11726.2830001668. The cubic root of 137505713 is about 516.1472060126.

The spelling of 137505713 in words is "one hundred thirty-seven million, five hundred five thousand, seven hundred thirteen".