157005216 has 144 divisors (see below), whose sum is σ = 472032288. Its totient is φ = 51321600.

The previous prime is 157005179. The next prime is 157005221. The reversal of 157005216 is 612500751.

157005216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (27).

It is a self number, because there is not a number n which added to its sum of digits gives 157005216.

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, 474171 + ... + 474501.

It is an arithmetic number, because the mean of its divisors is an integer number (3278002).

Almost surely, 2^157005216 is an apocalyptic number.

157005216 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 157005216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236016144).

157005216 is an abundant number, since it is smaller than the sum of its proper divisors (315027072).

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

157005216 is an equidigital number, since it uses as much as digits as its factorization.

157005216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 157005216 is about 12530.1722254724. The cubic root of 157005216 is about 539.4750453925.

Adding to 157005216 its reverse (612500751), we get a palindrome (769505967).

The spelling of 157005216 in words is "one hundred fifty-seven million, five thousand, two hundred sixteen".