151044160 has 56 divisors (see below), whose sum is σ = 361050840. Its totient is φ = 60186624.

The previous prime is 151044149. The next prime is 151044163. The reversal of 151044160 is 61440151.

It can be written as a sum of positive squares in 4 ways, for example, as 1617984 + 149426176 = 1272^2 + 12224^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151044163) 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 7 ways as a sum of consecutive naturals, for example, 100696 + ... + 102184.

Almost surely, 2^151044160 is an apocalyptic number.

151044160 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 151044160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180525420).

151044160 is an abundant number, since it is smaller than the sum of its proper divisors (210006680).

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

151044160 is a wasteful number, since it uses less digits than its factorization.

151044160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823 (or 1813 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 151044160 is about 12290.0024410087. The cubic root of 151044160 is about 532.5593077573.

The spelling of 151044160 in words is "one hundred fifty-one million, forty-four thousand, one hundred sixty".