137851 has 8 divisors (see below), whose sum is σ = 161280. Its totient is φ = 115368.

The previous prime is 137849. The next prime is 137867. The reversal of 137851 is 158731.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 137851 - 2¹ = 137849 is a prime.

It is a super-4 number, since 4×137851⁴ (a number of 22 digits) contains 4444 as substring.

It is a d-powerful number, because it can be written as 1 + 3⁹ + 8³ + 7⁶ + 5 + 1 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137831) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120 + ... + 538.

It is an arithmetic number, because the mean of its divisors is an integer number (20160).

2¹³⁷⁸⁵¹ is an apocalyptic number.

137851 is a deficient number, since it is larger than the sum of its proper divisors (23429).

137851 is an equidigital number, since it uses as much as digits as its factorization.

137851 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473.

The product of its digits is 840, while the sum is 25.

The square root of 137851 is about 371.2829109991. The cubic root of 137851 is about 51.6578872815.

The spelling of 137851 in words is "one hundred thirty-seven thousand, eight hundred fifty-one".