157545216 has 144 divisors (see below), whose sum is σ = 486635520. Its totient is φ = 50181120.

The previous prime is 157545211. The next prime is 157545217. The reversal of 157545216 is 612545751.

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157545211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158481 + ... + 159471.

Almost surely, 2^157545216 is an apocalyptic number.

157545216 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 157545216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243317760).

157545216 is an abundant number, since it is smaller than the sum of its proper divisors (329090304).

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

157545216 is an equidigital number, since it uses as much as digits as its factorization.

157545216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1019 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 157545216 is about 12551.7017172971. The cubic root of 157545216 is about 540.0928235493.

The spelling of 157545216 in words is "one hundred fifty-seven million, five hundred forty-five thousand, two hundred sixteen".