152001024 has 160 divisors (see below), whose sum is σ = 471922176. Its totient is φ = 42577920.

The previous prime is 152001023. The next prime is 152001041. The reversal of 152001024 is 420100251.

It is a super-2 number, since 2×152001024² = 46208622594097152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 152000994 and 152001012.

It is not an unprimeable number, because it can be changed into a prime (152001023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 720279 + ... + 720489.

Almost surely, 2^152001024 is an apocalyptic number.

152001024 is a gapful number since it is divisible by the number (14) 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 152001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235961088).

152001024 is an abundant number, since it is smaller than the sum of its proper divisors (319921152).

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

152001024 is an equidigital number, since it uses as much as digits as its factorization.

152001024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 152001024 is about 12328.8695345518. The cubic root of 152001024 is about 533.6815281817.

Adding to 152001024 its reverse (420100251), we get a palindrome (572101275).

The spelling of 152001024 in words is "one hundred fifty-two million, one thousand, twenty-four".