152605440 has 216 divisors, whose sum is σ = 569172240. Its totient is φ = 37527552.

The previous prime is 152605423. The next prime is 152605451. The reversal of 152605440 is 44506251.

152605440 is a `hidden beast` number, since 1 + 52 + 605 + 4 + 4 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149251 + ... + 150269.

Almost surely, 2^152605440 is an apocalyptic number.

152605440 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 152605440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284586120).

152605440 is an abundant number, since it is smaller than the sum of its proper divisors (416566800).

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

152605440 is a wasteful number, since it uses less digits than its factorization.

152605440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 152605440 is about 12353.3574383647. The cubic root of 152605440 is about 534.3879687014.

The spelling of 152605440 in words is "one hundred fifty-two million, six hundred five thousand, four hundred forty".