152767648 has 48 divisors (see below), whose sum is σ = 335766816. Its totient is φ = 67818240.

The previous prime is 152767613. The next prime is 152767663. The reversal of 152767648 is 846767251.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 152767598 and 152767607.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10090 + ... + 20182.

It is an arithmetic number, because the mean of its divisors is an integer number (6995142).

Almost surely, 2^152767648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152767648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167883408).

152767648 is an abundant number, since it is smaller than the sum of its proper divisors (182999168).

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

152767648 is a wasteful number, since it uses less digits than its factorization.

152767648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10157 (or 10149 counting only the distinct ones).

The product of its digits is 564480, while the sum is 46.

The square root of 152767648 is about 12359.9210353465. The cubic root of 152767648 is about 534.5772396073.

The spelling of 152767648 in words is "one hundred fifty-two million, seven hundred sixty-seven thousand, six hundred forty-eight".