157757712 has 160 divisors (see below), whose sum is σ = 487111680. Its totient is φ = 43061760.

The previous prime is 157757711. The next prime is 157757753. The reversal of 157757712 is 217757751.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (157757711) by changing a digit.

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, 881239 + ... + 881417.

It is an arithmetic number, because the mean of its divisors is an integer number (3044448).

Almost surely, 2^157757712 is an apocalyptic number.

157757712 is a gapful number since it is divisible by the number (12) 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 157757712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243555840).

157757712 is an abundant number, since it is smaller than the sum of its proper divisors (329353968).

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

157757712 is a wasteful number, since it uses less digits than its factorization.

157757712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 295 counting only the distinct ones).

The product of its digits is 120050, while the sum is 42.

The square root of 157757712 is about 12560.1636932008. The cubic root of 157757712 is about 540.3355390628.

The spelling of 157757712 in words is "one hundred fifty-seven million, seven hundred fifty-seven thousand, seven hundred twelve".