152053521642 has 96 divisors (see below), whose sum is σ = 365125453056. Its totient is φ = 45345484800.

The previous prime is 152053521623. The next prime is 152053521661. The reversal of 152053521642 is 246125350251.

152053521642 is a `hidden beast` number, since 1 + 5 + 2 + 0 + 5 + 3 + 5 + 2 + 1 + 642 = 666.

152053521642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (152053521623) and next prime (152053521661).

It is a junction number, because it is equal to n+sod(n) for n = 152053521597 and 152053521606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6680842 + ... + 6703562.

It is an arithmetic number, because the mean of its divisors is an integer number (3803390136).

Almost surely, 2^152053521642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152053521642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182562726528).

152053521642 is an abundant number, since it is smaller than the sum of its proper divisors (213071931414).

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

152053521642 is a wasteful number, since it uses less digits than its factorization.

152053521642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23276 (or 23273 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 152053521642 its reverse (246125350251), we get a palindrome (398178871893).

The spelling of 152053521642 in words is "one hundred fifty-two billion, fifty-three million, five hundred twenty-one thousand, six hundred forty-two".