152013642 has 64 divisors (see below), whose sum is σ = 351267840. Its totient is φ = 43372800.

The previous prime is 152013607. The next prime is 152013703. The reversal of 152013642 is 246310251.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 301963 + ... + 302465.

It is an arithmetic number, because the mean of its divisors is an integer number (5488560).

Almost surely, 2^152013642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152013642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175633920).

152013642 is an abundant number, since it is smaller than the sum of its proper divisors (199254198).

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

152013642 is a wasteful number, since it uses less digits than its factorization.

152013642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 152013642 is about 12329.3812496816. The cubic root of 152013642 is about 533.6962952033.

Adding to 152013642 its reverse (246310251), we get a palindrome (398323893).

The spelling of 152013642 in words is "one hundred fifty-two million, thirteen thousand, six hundred forty-two".