155952 has 60 divisors (see below), whose sum is σ = 472440. Its totient is φ = 49248.

The previous prime is 155921. The next prime is 156007. The reversal of 155952 is 259551.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 155952.

It is an unprimeable number.

155952 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 11 ways as a sum of consecutive naturals, for example, 8199 + ... + 8217.

It is an arithmetic number, because the mean of its divisors is an integer number (7874).

2¹⁵⁵⁹⁵² is an apocalyptic number.

155952 is a gapful number since it is divisible by the number (12) 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 155952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236220).

155952 is an abundant number, since it is smaller than the sum of its proper divisors (316488).

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

155952 is a wasteful number, since it uses less digits than its factorization.

155952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 24 counting only the distinct ones).

The product of its digits is 2250, while the sum is 27.

The square root of 155952 is about 394.9075841257. The cubic root of 155952 is about 53.8266043108.

Multiplying 155952 by its sum of digits (27), we get a square (4210704 = 2052²).

155952 divided by its sum of digits (27) gives a square (5776 = 76²).

The spelling of 155952 in words is "one hundred fifty-five thousand, nine hundred fifty-two".