151152 has 40 divisors (see below), whose sum is σ = 404736. Its totient is φ = 48576.

The previous prime is 151141. The next prime is 151153. The reversal of 151152 is 251151.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 151152.

It is not an unprimeable number, because it can be changed into a prime (151153) by changing a digit.

151152 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 7 ways as a sum of consecutive naturals, for example, 2223 + ... + 2289.

2¹⁵¹¹⁵² is an apocalyptic number.

151152 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 151152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202368).

151152 is an abundant number, since it is smaller than the sum of its proper divisors (253584).

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

151152 is a wasteful number, since it uses less digits than its factorization.

151152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 119 counting only the distinct ones).

The product of its digits is 50, while the sum is 15.

The square root of 151152 is about 388.7827156652. The cubic root of 151152 is about 53.2686020222.

Subtracting 151152 from its reverse (251151), we obtain a palindrome (99999).

It can be divided in two parts, 151 and 152, that added together give a palindrome (303).

The spelling of 151152 in words is "one hundred fifty-one thousand, one hundred fifty-two".