152457648 has 80 divisors (see below), whose sum is σ = 452637696. Its totient is φ = 43315200.

The previous prime is 152457647. The next prime is 152457689. The reversal of 152457648 is 846754251.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (152457647) 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, 63673 + ... + 66023.

Almost surely, 2^152457648 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 152457648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226318848).

152457648 is an abundant number, since it is smaller than the sum of its proper divisors (300180048).

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

152457648 is a wasteful number, since it uses less digits than its factorization.

152457648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2562 (or 2556 counting only the distinct ones).

The product of its digits is 268800, while the sum is 42.

The square root of 152457648 is about 12347.3741337987. The cubic root of 152457648 is about 534.2154021661.

The spelling of 152457648 in words is "one hundred fifty-two million, four hundred fifty-seven thousand, six hundred forty-eight".