157680468100 has 27 divisors (see below), whose sum is σ = 342175232847. Its totient is φ = 63070598880.

The previous prime is 157680468097. The next prime is 157680468139. The reversal of 157680468100 is 1864086751.

The square root of 157680468100 is 397090.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 17660815236 + 140019652864 = 132894^2 + 374192^2 .

It is a super-2 number, since 2×157680468100² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3951046 + ... + 3990754.

Almost surely, 2^157680468100 is an apocalyptic number.

157680468100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

157680468100 is the 397090-th square number.

It is an amenable number.

157680468100 is an abundant number, since it is smaller than the sum of its proper divisors (184494764747).

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

157680468100 is an frugal number, since it uses more digits than its factorization.

157680468100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79432 (or 39716 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 46.

The spelling of 157680468100 in words is "one hundred fifty-seven billion, six hundred eighty million, four hundred sixty-eight thousand, one hundred".