152448768 has 108 divisors (see below), whose sum is σ = 443858688. Its totient is φ = 50319360.

The previous prime is 152448763. The next prime is 152448781. The reversal of 152448768 is 867844251.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152448763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 292348 + ... + 292868.

Almost surely, 2^152448768 is an apocalyptic number.

152448768 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 152448768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221929344).

152448768 is an abundant number, since it is smaller than the sum of its proper divisors (291409920).

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

152448768 is a wasteful number, since it uses less digits than its factorization.

152448768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 653 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 152448768 is about 12347.0145379359. The cubic root of 152448768 is about 534.2050300509.

The spelling of 152448768 in words is "one hundred fifty-two million, four hundred forty-eight thousand, seven hundred sixty-eight".