157883760 has 120 divisors (see below), whose sum is σ = 561459600. Its totient is φ = 39622656.

The previous prime is 157883731. The next prime is 157883771. The reversal of 157883760 is 67388751.

157883760 is a `hidden beast` number, since 1 + 578 + 8 + 3 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5791 + ... + 18689.

It is an arithmetic number, because the mean of its divisors is an integer number (4678830).

Almost surely, 2^157883760 is an apocalyptic number.

157883760 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 157883760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280729800).

157883760 is an abundant number, since it is smaller than the sum of its proper divisors (403575840).

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

157883760 is a wasteful number, since it uses less digits than its factorization.

157883760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12935 (or 12926 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 157883760 is about 12565.1804603038. The cubic root of 157883760 is about 540.4794096472.

The spelling of 157883760 in words is "one hundred fifty-seven million, eight hundred eighty-three thousand, seven hundred sixty".