157468200 has 144 divisors (see below), whose sum is σ = 515904480. Its totient is φ = 39726720.

The previous prime is 157468187. The next prime is 157468217. The reversal of 157468200 is 2864751.

It is a super-2 number, since 2×157468200² = 49592468022480000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 216237 + ... + 216963.

It is an arithmetic number, because the mean of its divisors is an integer number (3582670).

Almost surely, 2^157468200 is an apocalyptic number.

157468200 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 157468200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257952240).

157468200 is an abundant number, since it is smaller than the sum of its proper divisors (358436280).

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

157468200 is a wasteful number, since it uses less digits than its factorization.

157468200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 157468200 is about 12548.6333917284. The cubic root of 157468200 is about 540.0048010547.

The spelling of 157468200 in words is "one hundred fifty-seven million, four hundred sixty-eight thousand, two hundred".