151845642 has 48 divisors (see below), whose sum is σ = 362570208. Its totient is φ = 45632160.

The previous prime is 151845619. The next prime is 151845667. The reversal of 151845642 is 246548151.

It is a happy number.

151845642 is a `hidden beast` number, since 1 + 5 + 1 + 8 + 4 + 5 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 151845597 and 151845606.

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 23 ways as a sum of consecutive naturals, for example, 2517 + ... + 17607.

It is an arithmetic number, because the mean of its divisors is an integer number (7553546).

Almost surely, 2^151845642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151845642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181285104).

151845642 is an abundant number, since it is smaller than the sum of its proper divisors (210724566).

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

151845642 is a wasteful number, since it uses less digits than its factorization.

151845642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15155 (or 15152 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 151845642 is about 12322.5663723106. The cubic root of 151845642 is about 533.4996154257.

The spelling of 151845642 in words is "one hundred fifty-one million, eight hundred forty-five thousand, six hundred forty-two".