151920 has 60 divisors (see below), whose sum is σ = 512616. Its totient is φ = 40320.

The previous prime is 151909. The next prime is 151937. The reversal of 151920 is 29151.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a junction number, because it is equal to n+sod(n) for n = 151893 and 151902.

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 151920.

It is an unprimeable number.

151920 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 615 + ... + 825.

2¹⁵¹⁹²⁰ is an apocalyptic number.

151920 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 151920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256308).

151920 is an abundant number, since it is smaller than the sum of its proper divisors (360696).

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

151920 is a wasteful number, since it uses less digits than its factorization.

151920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 151920 is about 389.7691624539. The cubic root of 151920 is about 53.3586685186.

The spelling of 151920 in words is "one hundred fifty-one thousand, nine hundred twenty".