152288640 has 256 divisors, whose sum is σ = 616896000. Its totient is φ = 34781184.

The previous prime is 152288611. The next prime is 152288641. The reversal of 152288640 is 46882251.

152288640 is a `hidden beast` number, since 1 + 5 + 2 + 2 + 8 + 8 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 152288595 and 152288604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152288641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120331 + ... + 121589.

It is an arithmetic number, because the mean of its divisors is an integer number (2409750).

Almost surely, 2^152288640 is an apocalyptic number.

152288640 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 152288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308448000).

152288640 is an abundant number, since it is smaller than the sum of its proper divisors (464607360).

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

152288640 is a wasteful number, since it uses less digits than its factorization.

152288640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 152288640 is about 12340.5283517360. The cubic root of 152288640 is about 534.0179264276.

The spelling of 152288640 in words is "one hundred fifty-two million, two hundred eighty-eight thousand, six hundred forty".