157761048 has 64 divisors (see below), whose sum is σ = 414086400. Its totient is φ = 49991040.

The previous prime is 157761013. The next prime is 157761049. The reversal of 157761048 is 840167751.

157761048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 157760997 and 157761015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157761049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99123 + ... + 100701.

It is an arithmetic number, because the mean of its divisors is an integer number (6470100).

Almost surely, 2^157761048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157761048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207043200).

157761048 is an abundant number, since it is smaller than the sum of its proper divisors (256325352).

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

157761048 is a wasteful number, since it uses less digits than its factorization.

157761048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1792 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 39.

The square root of 157761048 is about 12560.2964933158. The cubic root of 157761048 is about 540.3393477444.

The spelling of 157761048 in words is "one hundred fifty-seven million, seven hundred sixty-one thousand, forty-eight".