152101000224 has 36 divisors (see below), whose sum is σ = 432537220206. Its totient is φ = 50700333312.

The previous prime is 152101000199. The next prime is 152101000279. The reversal of 152101000224 is 422000101251.

It can be written as a sum of positive squares in only one way, i.e., 151268100624 + 832899600 = 388932^2 + 28860^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 152101000197 and 152101000206.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 264063949 + ... + 264064524.

Almost surely, 2^152101000224 is an apocalyptic number.

It is an amenable number.

152101000224 is an abundant number, since it is smaller than the sum of its proper divisors (280436219982).

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

152101000224 is a wasteful number, since it uses less digits than its factorization.

152101000224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528128489 (or 528128478 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 152101000224 its reverse (422000101251), we get a palindrome (574101101475).

The spelling of 152101000224 in words is "one hundred fifty-two billion, one hundred one million, two hundred twenty-four", and thus it is an aban number.