157697360 has 80 divisors (see below), whose sum is σ = 383613840. Its totient is φ = 60211200.

The previous prime is 157697333. The next prime is 157697377. The reversal of 157697360 is 63796751.

It can be written as a sum of positive squares in 8 ways, for example, as 3341584 + 154355776 = 1828^2 + 12424^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 233984 + ... + 234656.

It is an arithmetic number, because the mean of its divisors is an integer number (4795173).

Almost surely, 2^157697360 is an apocalyptic number.

157697360 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 157697360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191806920).

157697360 is an abundant number, since it is smaller than the sum of its proper divisors (225916480).

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

157697360 is a wasteful number, since it uses less digits than its factorization.

157697360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 44.

The square root of 157697360 is about 12557.7609469204. The cubic root of 157697360 is about 540.2666264470.

The spelling of 157697360 in words is "one hundred fifty-seven million, six hundred ninety-seven thousand, three hundred sixty".