157106760 has 128 divisors (see below), whose sum is σ = 491443200. Its totient is φ = 40135680.

The previous prime is 157106749. The next prime is 157106771. The reversal of 157106760 is 67601751.

It is an interprime number because it is at equal distance from previous prime (157106749) and next prime (157106771).

It is a super-3 number, since 3×157106760³ (a number of 26 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 583906 + ... + 584174.

It is an arithmetic number, because the mean of its divisors is an integer number (3839400).

Almost surely, 2^157106760 is an apocalyptic number.

157106760 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 157106760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245721600).

157106760 is an abundant number, since it is smaller than the sum of its proper divisors (334336440).

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

157106760 is a wasteful number, since it uses less digits than its factorization.

157106760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 33.

The square root of 157106760 is about 12534.2235499452. The cubic root of 157106760 is about 539.5913231608.

The spelling of 157106760 in words is "one hundred fifty-seven million, one hundred six thousand, seven hundred sixty".