151089120 has 288 divisors, whose sum is σ = 635124672. Its totient is φ = 31850496.

The previous prime is 151089097. The next prime is 151089163. The reversal of 151089120 is 21980151.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130464 + ... + 131616.

It is an arithmetic number, because the mean of its divisors is an integer number (2205294).

Almost surely, 2^151089120 is an apocalyptic number.

151089120 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 151089120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317562336).

151089120 is an abundant number, since it is smaller than the sum of its proper divisors (484035552).

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

151089120 is a wasteful number, since it uses less digits than its factorization.

151089120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 151089120 is about 12291.8314339239. The cubic root of 151089120 is about 532.6121432793.

The spelling of 151089120 in words is "one hundred fifty-one million, eighty-nine thousand, one hundred twenty".