151120 has 20 divisors (see below), whose sum is σ = 351540. Its totient is φ = 60416.

The previous prime is 151091. The next prime is 151121. The reversal of 151120 is 21151.

151120 = T₈₅ + T₈₆ + ... + T₁₁₄.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 63504 + 87616 = 252^2 + 296^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 151097 and 151106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151121) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 865 + ... + 1024.

It is an arithmetic number, because the mean of its divisors is an integer number (17577).

2¹⁵¹¹²⁰ is an apocalyptic number.

151120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151120 is an abundant number, since it is smaller than the sum of its proper divisors (200420).

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

151120 is a wasteful number, since it uses less digits than its factorization.

151120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 10.

The square root of 151120 is about 388.7415593939. The cubic root of 151120 is about 53.2648426374.

Adding to 151120 its reverse (21151), we get a palindrome (172271).

The spelling of 151120 in words is "one hundred fifty-one thousand, one hundred twenty".