39150 has 48 divisors (see below), whose sum is σ = 111600. Its totient is φ = 10080.

The previous prime is 39139. The next prime is 39157. The reversal of 39150 is 5193.

39150 = T₄₃ + T₄₄ + ... + T₆₇.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a Curzon number.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39157) by changing a digit.

39150 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1336 + ... + 1364.

It is an arithmetic number, because the mean of its divisors is an integer number (2325).

2³⁹¹⁵⁰ is an apocalyptic number.

39150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 39150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55800).

39150 is an abundant number, since it is smaller than the sum of its proper divisors (72450).

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

39150 is a wasteful number, since it uses less digits than its factorization.

39150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 39150 is about 197.8635893741. The cubic root of 39150 is about 33.9555358789.

It can be divided in two parts, 391 and 50, that added together give a square (441 = 21²).

The spelling of 39150 in words is "thirty-nine thousand, one hundred fifty".