137682501 has 16 divisors (see below), whose sum is σ = 206727168. Its totient is φ = 80751600.

The previous prime is 137682497. The next prime is 137682509. The reversal of 137682501 is 105286731.

It is not a de Polignac number, because 137682501 - 2² = 137682497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137682509) 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 15 ways as a sum of consecutive naturals, for example, 66271 + ... + 68316.

It is an arithmetic number, because the mean of its divisors is an integer number (12920448).

Almost surely, 2^137682501 is an apocalyptic number.

137682501 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

137682501 is a deficient number, since it is larger than the sum of its proper divisors (69044667).

137682501 is a wasteful number, since it uses less digits than its factorization.

137682501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134632.

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 137682501 is about 11733.8186878782. The cubic root of 137682501 is about 516.3683108979.

The spelling of 137682501 in words is "one hundred thirty-seven million, six hundred eighty-two thousand, five hundred one".