157338216 has 192 divisors, whose sum is σ = 520416000. Its totient is φ = 42844032.

The previous prime is 157338211. The next prime is 157338277. The reversal of 157338216 is 612833751.

157338216 is a `hidden beast` number, since 1 + 573 + 3 + 82 + 1 + 6 = 666.

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 (157338211) 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 47 ways as a sum of consecutive naturals, for example, 567870 + ... + 568146.

It is an arithmetic number, because the mean of its divisors is an integer number (2710500).

Almost surely, 2^157338216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157338216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260208000).

157338216 is an abundant number, since it is smaller than the sum of its proper divisors (363077784).

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

157338216 is a wasteful number, since it uses less digits than its factorization.

157338216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 312 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 157338216 is about 12543.4531130786. The cubic root of 157338216 is about 539.8561756888.

The spelling of 157338216 in words is "one hundred fifty-seven million, three hundred thirty-eight thousand, two hundred sixteen".