157841200 has 120 divisors (see below), whose sum is σ = 428298480. Its totient is φ = 55372800.

The previous prime is 157841191. The next prime is 157841207. The reversal of 157841200 is 2148751.

It is not an unprimeable number, because it can be changed into a prime (157841207) 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 23 ways as a sum of consecutive naturals, for example, 126982 + ... + 128218.

It is an arithmetic number, because the mean of its divisors is an integer number (3569154).

Almost surely, 2^157841200 is an apocalyptic number.

157841200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157841200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214149240).

157841200 is an abundant number, since it is smaller than the sum of its proper divisors (270457280).

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

157841200 is a wasteful number, since it uses less digits than its factorization.

157841200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 157841200 is about 12563.4867771650. The cubic root of 157841200 is about 540.4308404321.

Adding to 157841200 its reverse (2148751), we get a palindrome (159989951).

It can be divided in two parts, 1578 and 41200, that added together give a triangular number (42778 = T₂₉₂).

The spelling of 157841200 in words is "one hundred fifty-seven million, eight hundred forty-one thousand, two hundred".