157148200 has 96 divisors (see below), whose sum is σ = 405465120. Its totient is φ = 56160000.

The previous prime is 157148197. The next prime is 157148209. The reversal of 157148200 is 2841751.

It is not an unprimeable number, because it can be changed into a prime (157148209) 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, 133615 + ... + 134785.

It is an arithmetic number, because the mean of its divisors is an integer number (4223595).

Almost surely, 2^157148200 is an apocalyptic number.

157148200 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 157148200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202732560).

157148200 is an abundant number, since it is smaller than the sum of its proper divisors (248316920).

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

157148200 is a wasteful number, since it uses less digits than its factorization.

157148200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1250 counting only the distinct ones).

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

The square root of 157148200 is about 12535.8765150268. The cubic root of 157148200 is about 539.6387616006.

Adding to 157148200 its reverse (2841751), we get a palindrome (159989951).

The spelling of 157148200 in words is "one hundred fifty-seven million, one hundred forty-eight thousand, two hundred".