152259240 has 128 divisors (see below), whose sum is σ = 534885120. Its totient is φ = 33945600.

The previous prime is 152259187. The next prime is 152259253. The reversal of 152259240 is 42952251.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 152259198 and 152259207.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 32230 + ... + 36650.

It is an arithmetic number, because the mean of its divisors is an integer number (4178790).

Almost surely, 2^152259240 is an apocalyptic number.

152259240 is a gapful number since it is divisible by the number (10) 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 152259240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267442560).

152259240 is an abundant number, since it is smaller than the sum of its proper divisors (382625880).

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

152259240 is a wasteful number, since it uses less digits than its factorization.

152259240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4483 (or 4479 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 152259240 is about 12339.3370972674. The cubic root of 152259240 is about 533.9835593698.

The spelling of 152259240 in words is "one hundred fifty-two million, two hundred fifty-nine thousand, two hundred forty".