152613648 has 240 divisors, whose sum is σ = 501396480. Its totient is φ = 42873600.

The previous prime is 152613623. The next prime is 152613649. The reversal of 152613648 is 846316251.

It is a happy number.

152613648 is a `hidden beast` number, since 1 + 5 + 2 + 6 + 1 + 3 + 648 = 666.

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 (152613649) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2149453 + ... + 2149523.

It is an arithmetic number, because the mean of its divisors is an integer number (2089152).

Almost surely, 2^152613648 is an apocalyptic number.

152613648 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 152613648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250698240).

152613648 is an abundant number, since it is smaller than the sum of its proper divisors (348782832).

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

152613648 is a wasteful number, since it uses less digits than its factorization.

152613648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 169 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 152613648 is about 12353.6896512742. The cubic root of 152613648 is about 534.3975493511.

Adding to 152613648 its reverse (846316251), we get a palindrome (998929899).

The spelling of 152613648 in words is "one hundred fifty-two million, six hundred thirteen thousand, six hundred forty-eight".