157542816 has 48 divisors (see below), whose sum is σ = 418219200. Its totient is φ = 51921408.

The previous prime is 157542793. The next prime is 157542817. The reversal of 157542816 is 618245751.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (157542817) 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 7 ways as a sum of consecutive naturals, for example, 676 + ... + 17763.

It is an arithmetic number, because the mean of its divisors is an integer number (8712900).

Almost surely, 2^157542816 is an apocalyptic number.

157542816 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 157542816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209109600).

157542816 is an abundant number, since it is smaller than the sum of its proper divisors (260676384).

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

157542816 is a wasteful number, since it uses less digits than its factorization.

157542816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18541 (or 18533 counting only the distinct ones).

The product of its digits is 67200, while the sum is 39.

The square root of 157542816 is about 12551.6061123667. The cubic root of 157542816 is about 540.0900809941.

The spelling of 157542816 in words is "one hundred fifty-seven million, five hundred forty-two thousand, eight hundred sixteen".