151059120 has 160 divisors (see below), whose sum is σ = 498420480. Its totient is φ = 37739520.

The previous prime is 151059107. The next prime is 151059131. The reversal of 151059120 is 21950151.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 715815 + ... + 716025.

It is an arithmetic number, because the mean of its divisors is an integer number (3115128).

Almost surely, 2^151059120 is an apocalyptic number.

151059120 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 151059120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249210240).

151059120 is an abundant number, since it is smaller than the sum of its proper divisors (347361360).

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

151059120 is a wasteful number, since it uses less digits than its factorization.

151059120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 24.

The square root of 151059120 is about 12290.6110507167. The cubic root of 151059120 is about 532.5768894239.

The spelling of 151059120 in words is "one hundred fifty-one million, fifty-nine thousand, one hundred twenty".