137616345 has 24 divisors (see below), whose sum is σ = 238819776. Its totient is φ = 73307808.

The previous prime is 137616331. The next prime is 137616359. The reversal of 137616345 is 543616731.

137616345 is a `hidden beast` number, since 1 + 3 + 7 + 616 + 34 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (137616331) and next prime (137616359).

It is not a de Polignac number, because 137616345 - 2⁵ = 137616313 is a prime.

It is a super-2 number, since 2×137616345² = 37876516822318050, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57462 + ... + 59808.

It is an arithmetic number, because the mean of its divisors is an integer number (9950824).

Almost surely, 2^137616345 is an apocalyptic number.

137616345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137616345 is a deficient number, since it is larger than the sum of its proper divisors (101203431).

137616345 is a wasteful number, since it uses less digits than its factorization.

137616345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3661 (or 3658 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 137616345 is about 11730.9993180462. Note that the first 3 decimals coincide. The cubic root of 137616345 is about 516.2855932091.

The spelling of 137616345 in words is "one hundred thirty-seven million, six hundred sixteen thousand, three hundred forty-five".