157142016 has 198 divisors, whose sum is σ = 490174620. Its totient is φ = 48463872.

The previous prime is 157141993. The next prime is 157142017. The reversal of 157142016 is 610241751.

It is a happy number.

It is a super-2 number, since 2×157142016² = 49387226385088512, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (157142017) 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 17 ways as a sum of consecutive naturals, for example, 2663395 + ... + 2663453.

Almost surely, 2^157142016 is an apocalyptic number.

157142016 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 157142016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245087310).

157142016 is an abundant number, since it is smaller than the sum of its proper divisors (333032604).

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

157142016 is a wasteful number, since it uses less digits than its factorization.

157142016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 157142016 is about 12535.6298605216. The cubic root of 157142016 is about 539.6316829961.

Adding to 157142016 its reverse (610241751), we get a palindrome (767383767).

The spelling of 157142016 in words is "one hundred fifty-seven million, one hundred forty-two thousand, sixteen".