152759460 has 144 divisors (see below), whose sum is σ = 501935616. Its totient is φ = 34610688.

The previous prime is 152759407. The next prime is 152759461. The reversal of 152759460 is 64957251.

It is not an unprimeable number, because it can be changed into a prime (152759461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 655504 + ... + 655736.

It is an arithmetic number, because the mean of its divisors is an integer number (3485664).

Almost surely, 2^152759460 is an apocalyptic number.

152759460 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 152759460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250967808).

152759460 is an abundant number, since it is smaller than the sum of its proper divisors (349176156).

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

152759460 is a wasteful number, since it uses less digits than its factorization.

152759460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 152759460 is about 12359.5897990184. The cubic root of 152759460 is about 534.5676887268.

The spelling of 152759460 in words is "one hundred fifty-two million, seven hundred fifty-nine thousand, four hundred sixty".