150360 has 64 divisors (see below), whose sum is σ = 518400. Its totient is φ = 34176.

The previous prime is 150343. The next prime is 150373. The reversal of 150360 is 63051.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

150360 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 15 ways as a sum of consecutive naturals, for example, 751 + ... + 929.

It is an arithmetic number, because the mean of its divisors is an integer number (8100).

2¹⁵⁰³⁶⁰ is an apocalyptic number.

150360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259200).

150360 is an abundant number, since it is smaller than the sum of its proper divisors (368040).

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

150360 is a wasteful number, since it uses less digits than its factorization.

150360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 150360 is about 387.7628141016. The cubic root of 150360 is about 53.1754008421.

The spelling of 150360 in words is "one hundred fifty thousand, three hundred sixty".