151488288 has 144 divisors (see below), whose sum is σ = 496431936. Its totient is φ = 42923520.

The previous prime is 151488287. The next prime is 151488299. The reversal of 151488288 is 882884151.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (151488287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 328378 + ... + 328838.

It is an arithmetic number, because the mean of its divisors is an integer number (3447444).

Almost surely, 2^151488288 is an apocalyptic number.

151488288 is a gapful number since it is divisible by the number (18) 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 151488288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248215968).

151488288 is an abundant number, since it is smaller than the sum of its proper divisors (344943648).

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

151488288 is a wasteful number, since it uses less digits than its factorization.

151488288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 636 counting only the distinct ones).

The product of its digits is 163840, while the sum is 45.

The square root of 151488288 is about 12308.0578484178. The cubic root of 151488288 is about 533.0807734748.

It can be divided in two parts, 15148 and 8288, that added together give a triangular number (23436 = T₂₁₆).

The spelling of 151488288 in words is "one hundred fifty-one million, four hundred eighty-eight thousand, two hundred eighty-eight".