13500157 has 8 divisors (see below), whose sum is σ = 14806080. Its totient is φ = 12207360.

The previous prime is 13500133. The next prime is 13500163. The reversal of 13500157 is 75100531.

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

It is not a de Polignac number, because 13500157 - 2¹⁹ = 12975869 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13500857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1057 + ... + 5302.

It is an arithmetic number, because the mean of its divisors is an integer number (1850760).

Almost surely, 2^13500157 is an apocalyptic number.

It is an amenable number.

13500157 is a deficient number, since it is larger than the sum of its proper divisors (1305923).

13500157 is a wasteful number, since it uses less digits than its factorization.

13500157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6563.

The product of its (nonzero) digits is 525, while the sum is 22.

The square root of 13500157 is about 3674.2559791065. The cubic root of 13500157 is about 238.1110808360. Note that the first 3 decimals are identical.

Adding to 13500157 its reverse (75100531), we get a palindrome (88600688).

The spelling of 13500157 in words is "thirteen million, five hundred thousand, one hundred fifty-seven".