157235200 has 144 divisors (see below), whose sum is σ = 405208440. Its totient is φ = 60456960.

The previous prime is 157235173. The next prime is 157235207. The reversal of 157235200 is 2532751.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157235207) 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 11 ways as a sum of consecutive naturals, for example, 1894359 + ... + 1894441.

Almost surely, 2^157235200 is an apocalyptic number.

157235200 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 157235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202604220).

157235200 is an abundant number, since it is smaller than the sum of its proper divisors (247973240).

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

157235200 is an equidigital number, since it uses as much as digits as its factorization.

157235200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 157235200 is about 12539.3460754539. The cubic root of 157235200 is about 539.7383277237.

Adding to 157235200 its reverse (2532751), we get a palindrome (159767951).

The spelling of 157235200 in words is "one hundred fifty-seven million, two hundred thirty-five thousand, two hundred".