151845120 has 324 divisors, whose sum is σ = 613414620. Its totient is φ = 34578432.

The previous prime is 151845119. The next prime is 151845157. The reversal of 151845120 is 21548151.

It can be written as a sum of positive squares in 2 ways, for example, as 28901376 + 122943744 = 5376^2 + 11088^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 564346 + ... + 564614.

It is an arithmetic number, because the mean of its divisors is an integer number (1893255).

Almost surely, 2^151845120 is an apocalyptic number.

151845120 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 151845120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306707310).

151845120 is an abundant number, since it is smaller than the sum of its proper divisors (461569500).

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

151845120 is a wasteful number, since it uses less digits than its factorization.

151845120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The square root of 151845120 is about 12322.5451916396. The cubic root of 151845120 is about 533.4990040875.

The spelling of 151845120 in words is "one hundred fifty-one million, eight hundred forty-five thousand, one hundred twenty".