157205520 has 120 divisors (see below), whose sum is σ = 546226200. Its totient is φ = 40470528.

The previous prime is 157205519. The next prime is 157205527. The reversal of 157205520 is 25502751.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9437184 + 147768336 = 3072^2 + 12156^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (157205527) 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 23 ways as a sum of consecutive naturals, for example, 17116 + ... + 24644.

It is an arithmetic number, because the mean of its divisors is an integer number (4551885).

Almost surely, 2^157205520 is an apocalyptic number.

157205520 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 157205520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273113100).

157205520 is an abundant number, since it is smaller than the sum of its proper divisors (389020680).

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

157205520 is a wasteful number, since it uses less digits than its factorization.

157205520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7577 (or 7568 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 157205520 is about 12538.1625448070. The cubic root of 157205520 is about 539.7043649265.

The spelling of 157205520 in words is "one hundred fifty-seven million, two hundred five thousand, five hundred twenty".