137629661 has 16 divisors (see below), whose sum is σ = 152938800. Its totient is φ = 123041280.

The previous prime is 137629643. The next prime is 137629669. The reversal of 137629661 is 166926731.

137629661 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 60295225 + 77334436 = 7765^2 + 8794^2 .

It is a cyclic number.

It is not a de Polignac number, because 137629661 - 2¹⁴ = 137613277 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137629669) 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, 78551 + ... + 80283.

It is an arithmetic number, because the mean of its divisors is an integer number (9558675).

Almost surely, 2^137629661 is an apocalyptic number.

It is an amenable number.

137629661 is a deficient number, since it is larger than the sum of its proper divisors (15309139).

137629661 is a wasteful number, since it uses less digits than its factorization.

137629661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1936.

The product of its digits is 81648, while the sum is 41.

The square root of 137629661 is about 11731.5668603985. The cubic root of 137629661 is about 516.3022449066.

The spelling of 137629661 in words is "one hundred thirty-seven million, six hundred twenty-nine thousand, six hundred sixty-one".