157122016200 has 288 divisors, whose sum is σ = 561178144800. Its totient is φ = 39283937280.

The previous prime is 157122016171. The next prime is 157122016201. The reversal of 157122016200 is 2610221751.

157122016200 is a `hidden beast` number, since 1 + 5 + 7 + 12 + 20 + 1 + 620 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (157122016201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3293719 + ... + 3341081.

It is an arithmetic number, because the mean of its divisors is an integer number (1948535225).

Almost surely, 2^157122016200 is an apocalyptic number.

157122016200 is a gapful number since it is divisible by the number (10) 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 157122016200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280589072400).

157122016200 is an abundant number, since it is smaller than the sum of its proper divisors (404056128600).

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

157122016200 is a wasteful number, since it uses less digits than its factorization.

157122016200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47501 (or 47489 counting only the distinct ones).

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

Adding to 157122016200 its reverse (2610221751), we get a palindrome (159732237951).

The spelling of 157122016200 in words is "one hundred fifty-seven billion, one hundred twenty-two million, sixteen thousand, two hundred".