137651631 has 16 divisors (see below), whose sum is σ = 199473120. Its totient is φ = 83928960.

The previous prime is 137651629. The next prime is 137651639. The reversal of 137651631 is 136156731.

It is a happy number.

137651631 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 137651631 - 2¹ = 137651629 is a prime.

It is a super-3 number, since 3×137651631³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 137651592 and 137651601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137651639) 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, 11940 + ... + 20441.

It is an arithmetic number, because the mean of its divisors is an integer number (12467070).

Almost surely, 2^137651631 is an apocalyptic number.

137651631 is a deficient number, since it is larger than the sum of its proper divisors (61821489).

137651631 is a wasteful number, since it uses less digits than its factorization.

137651631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32506.

The product of its digits is 11340, while the sum is 33.

The square root of 137651631 is about 11732.5031855951. The cubic root of 137651631 is about 516.3297161089.

The spelling of 137651631 in words is "one hundred thirty-seven million, six hundred fifty-one thousand, six hundred thirty-one".