152655648 has 96 divisors (see below), whose sum is σ = 429468480. Its totient is φ = 47308800.

The previous prime is 152655647. The next prime is 152655649. The reversal of 152655648 is 846556251.

152655648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (152655647) and next prime (152655649).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152655647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144723 + ... + 145773.

It is an arithmetic number, because the mean of its divisors is an integer number (4473630).

Almost surely, 2^152655648 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 152655648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214734240).

152655648 is an abundant number, since it is smaller than the sum of its proper divisors (276812832).

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

152655648 is a wasteful number, since it uses less digits than its factorization.

152655648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1162 counting only the distinct ones).

The product of its digits is 288000, while the sum is 42.

The square root of 152655648 is about 12355.3894313372. The cubic root of 152655648 is about 534.4465677684.

The spelling of 152655648 in words is "one hundred fifty-two million, six hundred fifty-five thousand, six hundred forty-eight".