152653248 has 140 divisors (see below), whose sum is σ = 493833912. Its totient is φ = 46241280.

The previous prime is 152653247. The next prime is 152653253. The reversal of 152653248 is 842356251.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152653243) 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 19 ways as a sum of consecutive naturals, for example, 55686 + ... + 58362.

Almost surely, 2^152653248 is an apocalyptic number.

152653248 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 152653248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246916956).

152653248 is an abundant number, since it is smaller than the sum of its proper divisors (341180664).

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

152653248 is a wasteful number, since it uses less digits than its factorization.

152653248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2712 (or 2693 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 152653248 is about 12355.2923073475. The cubic root of 152653248 is about 534.4437669582.

The spelling of 152653248 in words is "one hundred fifty-two million, six hundred fifty-three thousand, two hundred forty-eight".