157985800 has 144 divisors (see below), whose sum is σ = 437650560. Its totient is φ = 53014080.

The previous prime is 157985783. The next prime is 157985801. The reversal of 157985800 is 8589751.

157985800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157985801) by changing a digit.

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, 3361377 + ... + 3361423.

It is an arithmetic number, because the mean of its divisors is an integer number (3039240).

Almost surely, 2^157985800 is an apocalyptic number.

157985800 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 157985800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218825280).

157985800 is an abundant number, since it is smaller than the sum of its proper divisors (279664760).

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

157985800 is an frugal number, since it uses more digits than its factorization.

157985800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 43.

The square root of 157985800 is about 12569.2402316130. The cubic root of 157985800 is about 540.5958215399.

The spelling of 157985800 in words is "one hundred fifty-seven million, nine hundred eighty-five thousand, eight hundred".