151632 has 70 divisors (see below), whose sum is σ = 474362. Its totient is φ = 46656.

The previous prime is 151631. The next prime is 151637. The reversal of 151632 is 236151.

It can be written as a sum of positive squares in only one way, i.e., 104976 + 46656 = 324^2 + 216^2 .

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

Its product of digits (180) is a multiple of the sum of its prime divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 11658 + ... + 11670.

2¹⁵¹⁶³² is an apocalyptic number.

151632 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 151632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237181).

151632 is an abundant number, since it is smaller than the sum of its proper divisors (322730).

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

151632 is an equidigital number, since it uses as much as digits as its factorization.

151632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 18 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 151632 is about 389.3995377501. The cubic root of 151632 is about 53.3249292313.

Adding to 151632 its reverse (236151), we get a palindrome (387783).

The spelling of 151632 in words is "one hundred fifty-one thousand, six hundred thirty-two".