157193760 has 192 divisors, whose sum is σ = 521240832. Its totient is φ = 39776256.

The previous prime is 157193749. The next prime is 157193761. The reversal of 157193760 is 67391751.

157193760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (157193761) 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, 941197 + ... + 941363.

It is an arithmetic number, because the mean of its divisors is an integer number (2714796).

Almost surely, 2^157193760 is an apocalyptic number.

157193760 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 157193760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260620416).

157193760 is an abundant number, since it is smaller than the sum of its proper divisors (364047072).

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

157193760 is a wasteful number, since it uses less digits than its factorization.

157193760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 39.

The square root of 157193760 is about 12537.6935677979. The cubic root of 157193760 is about 539.6909067867.

The spelling of 157193760 in words is "one hundred fifty-seven million, one hundred ninety-three thousand, seven hundred sixty".