152001642 has 40 divisors (see below), whose sum is σ = 329707296. Its totient is φ = 46717008.

The previous prime is 152001617. The next prime is 152001671. The reversal of 152001642 is 246100251.

152001642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×152001642³ (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 170923 + ... + 171809.

Almost surely, 2^152001642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152001642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164853648).

152001642 is an abundant number, since it is smaller than the sum of its proper divisors (177705654).

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

152001642 is an frugal number, since it uses more digits than its factorization.

152001642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 152001642 is about 12328.8945976515. The cubic root of 152001642 is about 533.6822514548.

Adding to 152001642 its reverse (246100251), we get a palindrome (398101893).

The spelling of 152001642 in words is "one hundred fifty-two million, one thousand, six hundred forty-two".