157642144 has 48 divisors (see below), whose sum is σ = 350269920. Its totient is φ = 69180160.

The previous prime is 157642141. The next prime is 157642151. The reversal of 157642144 is 441246751.

It is a super-3 number, since 3×157642144³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (157642141) 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 7 ways as a sum of consecutive naturals, for example, 2487 + ... + 17929.

It is an arithmetic number, because the mean of its divisors is an integer number (7297290).

Almost surely, 2^157642144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157642144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175134960).

157642144 is an abundant number, since it is smaller than the sum of its proper divisors (192627776).

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

157642144 is a wasteful number, since it uses less digits than its factorization.

157642144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15493 (or 15485 counting only the distinct ones).

The product of its digits is 26880, while the sum is 34.

The square root of 157642144 is about 12555.5622733512. The cubic root of 157642144 is about 540.2035629426.

Adding to 157642144 its reverse (441246751), we get a palindrome (598888895).

The spelling of 157642144 in words is "one hundred fifty-seven million, six hundred forty-two thousand, one hundred forty-four".