137748501 has 24 divisors (see below), whose sum is σ = 229829184. Its totient is φ = 78572160.

The previous prime is 137748491. The next prime is 137748509. The reversal of 137748501 is 105847731.

It is not a de Polignac number, because 137748501 - 2¹⁴ = 137732117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137748509) 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 23 ways as a sum of consecutive naturals, for example, 39241 + ... + 42606.

It is an arithmetic number, because the mean of its divisors is an integer number (9576216).

Almost surely, 2^137748501 is an apocalyptic number.

137748501 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

137748501 is a deficient number, since it is larger than the sum of its proper divisors (92080683).

137748501 is a wasteful number, since it uses less digits than its factorization.

137748501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81881 (or 81878 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 137748501 is about 11736.6307345848. The cubic root of 137748501 is about 516.4508071341.

The spelling of 137748501 in words is "one hundred thirty-seven million, seven hundred forty-eight thousand, five hundred one".