157705056 has 144 divisors (see below), whose sum is σ = 492854544. Its totient is φ = 49434624.

The previous prime is 157705049. The next prime is 157705099. The reversal of 157705056 is 650507751.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 157705056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131596 + ... + 132788.

It is an arithmetic number, because the mean of its divisors is an integer number (3422601).

Almost surely, 2^157705056 is an apocalyptic number.

157705056 is a gapful number since it is divisible by the number (16) 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 157705056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246427272).

157705056 is an abundant number, since it is smaller than the sum of its proper divisors (335149488).

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

157705056 is a wasteful number, since it uses less digits than its factorization.

157705056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 36750, while the sum is 36.

The square root of 157705056 is about 12558.0673672345. The cubic root of 157705056 is about 540.2754150623.

The spelling of 157705056 in words is "one hundred fifty-seven million, seven hundred five thousand, fifty-six".