137505631 has 2 divisors, whose sum is σ = 137505632. Its totient is φ = 137505630.

The previous prime is 137505601. The next prime is 137505637. The reversal of 137505631 is 136505731.

137505631 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 137505631 - 2²¹ = 135408479 is a prime.

It is a super-2 number, since 2×137505631² = 37815597113416322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 137505593 and 137505602.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137505637) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68752815 + 68752816.

It is an arithmetic number, because the mean of its divisors is an integer number (68752816).

Almost surely, 2^137505631 is an apocalyptic number.

137505631 is a deficient number, since it is larger than the sum of its proper divisors (1).

137505631 is an equidigital number, since it uses as much as digits as its factorization.

137505631 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9450, while the sum is 31.

The square root of 137505631 is about 11726.2795037471. The cubic root of 137505631 is about 516.1471034130.

The spelling of 137505631 in words is "one hundred thirty-seven million, five hundred five thousand, six hundred thirty-one".