157131216 has 240 divisors, whose sum is σ = 529251840. Its totient is φ = 42958080.

The previous prime is 157131211. The next prime is 157131217. The reversal of 157131216 is 612131751.

It is a self number, because there is not a number n which added to its sum of digits gives 157131216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157131211) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 692095 + ... + 692321.

It is an arithmetic number, because the mean of its divisors is an integer number (2205216).

Almost surely, 2^157131216 is an apocalyptic number.

157131216 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 157131216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264625920).

157131216 is an abundant number, since it is smaller than the sum of its proper divisors (372120624).

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

157131216 is a wasteful number, since it uses less digits than its factorization.

157131216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 285 counting only the distinct ones).

The product of its digits is 1260, while the sum is 27.

The square root of 157131216 is about 12535.1990809879. The cubic root of 157131216 is about 539.6193201754.

Adding to 157131216 its reverse (612131751), we get a palindrome (769262967).

The spelling of 157131216 in words is "one hundred fifty-seven million, one hundred thirty-one thousand, two hundred sixteen".