151584048 has 400 divisors, whose sum is σ = 576153600. Its totient is φ = 38102400.

The previous prime is 151584047. The next prime is 151584049. The reversal of 151584048 is 840485151.

It is an interprime number because it is at equal distance from previous prime (151584047) and next prime (151584049).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (151584047) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4889793 + ... + 4889823.

It is an arithmetic number, because the mean of its divisors is an integer number (1440384).

Almost surely, 2^151584048 is an apocalyptic number.

151584048 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 151584048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288076800).

151584048 is an abundant number, since it is smaller than the sum of its proper divisors (424569552).

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

151584048 is a wasteful number, since it uses less digits than its factorization.

151584048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 151584048 is about 12311.9473683086. The cubic root of 151584048 is about 533.1930749230.

The spelling of 151584048 in words is "one hundred fifty-one million, five hundred eighty-four thousand, forty-eight".