137699653 has 24 divisors (see below), whose sum is σ = 174120408. Its totient is φ = 107928576.

The previous prime is 137699647. The next prime is 137699657. The reversal of 137699653 is 356996731.

It can be written as a sum of positive squares in 4 ways, for example, as 879844 + 136819809 = 938^2 + 11697^2 .

It is not a de Polignac number, because 137699653 - 2⁵ = 137699621 is a prime.

It is a super-2 number, since 2×137699653² = 37922388872640818, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a junction number, because it is equal to n+sod(n) for n = 137699597 and 137699606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137699657) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71025 + ... + 72937.

It is an arithmetic number, because the mean of its divisors is an integer number (7255017).

Almost surely, 2^137699653 is an apocalyptic number.

137699653 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

137699653 is a deficient number, since it is larger than the sum of its proper divisors (36420755).

137699653 is a wasteful number, since it uses less digits than its factorization.

137699653 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2053 (or 2046 counting only the distinct ones).

The product of its digits is 918540, while the sum is 49.

The square root of 137699653 is about 11734.5495439748. The cubic root of 137699653 is about 516.3897524548.

The spelling of 137699653 in words is "one hundred thirty-seven million, six hundred ninety-nine thousand, six hundred fifty-three".