157276680 has 128 divisors (see below), whose sum is σ = 541900800. Its totient is φ = 36115200.

The previous prime is 157276667. The next prime is 157276687. The reversal of 157276680 is 86672751.

157276680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 12541²-1.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (157276687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21945 + ... + 28215.

It is an arithmetic number, because the mean of its divisors is an integer number (4233600).

Almost surely, 2^157276680 is an apocalyptic number.

157276680 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 157276680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270950400).

157276680 is an abundant number, since it is smaller than the sum of its proper divisors (384624120).

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

157276680 is a wasteful number, since it uses less digits than its factorization.

157276680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6315 (or 6311 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 157276680 is about 12540.9999601308. Note that the first 4 decimals coincide. The cubic root of 157276680 is about 539.7857860904.

The spelling of 157276680 in words is "one hundred fifty-seven million, two hundred seventy-six thousand, six hundred eighty".