157601200 has 120 divisors (see below), whose sum is σ = 404773200. Its totient is φ = 58798080.

The previous prime is 157601183. The next prime is 157601231. The reversal of 157601200 is 2106751.

It is a congruent number.

It is an unprimeable number.

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, 676284 + ... + 676516.

It is an arithmetic number, because the mean of its divisors is an integer number (3373110).

Almost surely, 2^157601200 is an apocalyptic number.

157601200 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 157601200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202386600).

157601200 is an abundant number, since it is smaller than the sum of its proper divisors (247172000).

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

157601200 is a wasteful number, since it uses less digits than its factorization.

157601200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 157601200 is about 12553.9316550633. The cubic root of 157601200 is about 540.1567903193.

Adding to 157601200 its reverse (2106751), we get a palindrome (159707951).

The spelling of 157601200 in words is "one hundred fifty-seven million, six hundred one thousand, two hundred".