137144007 has 72 divisors (see below), whose sum is σ = 267666048. Its totient is φ = 65707200.

The previous prime is 137144003. The next prime is 137144011. The reversal of 137144007 is 700441731.

It is an interprime number because it is at equal distance from previous prime (137144003) and next prime (137144011).

It is not a de Polignac number, because 137144007 - 2² = 137144003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137144003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 116532 + ... + 117702.

It is an arithmetic number, because the mean of its divisors is an integer number (3717584).

Almost surely, 2^137144007 is an apocalyptic number.

137144007 is a deficient number, since it is larger than the sum of its proper divisors (130522041).

137144007 is a wasteful number, since it uses less digits than its factorization.

137144007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 137144007 is about 11710.8499691525. The cubic root of 137144007 is about 515.6942370056.

Adding to 137144007 its reverse (700441731), we get a palindrome (837585738).

The spelling of 137144007 in words is "one hundred thirty-seven million, one hundred forty-four thousand, seven".