13735150 has 96 divisors (see below), whose sum is σ = 32060448. Its totient is φ = 4300800.

The previous prime is 13735097. The next prime is 13735159. The reversal of 13735150 is 5153731.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13735159) 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 47 ways as a sum of consecutive naturals, for example, 121494 + ... + 121606.

It is an arithmetic number, because the mean of its divisors is an integer number (333963).

Almost surely, 2^13735150 is an apocalyptic number.

13735150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13735150 is an abundant number, since it is smaller than the sum of its proper divisors (18325298).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13735150 is a wasteful number, since it uses less digits than its factorization.

13735150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 25.

The square root of 13735150 is about 3706.0963290233. The cubic root of 13735150 is about 239.4847162287.

Adding to 13735150 its reverse (5153731), we get a palindrome (18888881).

The spelling of 13735150 in words is "thirteen million, seven hundred thirty-five thousand, one hundred fifty".