137147413 has 16 divisors (see below), whose sum is σ = 154869120. Its totient is φ = 120504384.

The previous prime is 137147407. The next prime is 137147429. The reversal of 137147413 is 314741731.

It is a de Polignac number, because none of the positive numbers 2^k-137147413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137147443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67470 + ... + 69472.

It is an arithmetic number, because the mean of its divisors is an integer number (9679320).

Almost surely, 2^137147413 is an apocalyptic number.

137147413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

137147413 is a deficient number, since it is larger than the sum of its proper divisors (17721707).

137147413 is a wasteful number, since it uses less digits than its factorization.

137147413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2268.

The product of its digits is 7056, while the sum is 31.

The square root of 137147413 is about 11710.9953889497. The cubic root of 137147413 is about 515.6985060949.

It can be divided in two parts, 1371 and 47413, that added together give a palindrome (48784).

The spelling of 137147413 in words is "one hundred thirty-seven million, one hundred forty-seven thousand, four hundred thirteen".