152101314 has 60 divisors (see below), whose sum is σ = 352528902. Its totient is φ = 49014720.

The previous prime is 152101309. The next prime is 152101319. The reversal of 152101314 is 413101251.

It is an interprime number because it is at equal distance from previous prime (152101309) and next prime (152101319).

It can be written as a sum of positive squares in only one way, i.e., 95355225 + 56746089 = 9765^2 + 7533^2 .

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (152101319) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 155194 + ... + 156170.

Almost surely, 2^152101314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152101314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176264451).

152101314 is an abundant number, since it is smaller than the sum of its proper divisors (200427588).

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

152101314 is an equidigital number, since it uses as much as digits as its factorization.

152101314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 152101314 is about 12332.9361467576. The cubic root of 152101314 is about 533.7988764116.

Adding to 152101314 its reverse (413101251), we get a palindrome (565202565).

The spelling of 152101314 in words is "one hundred fifty-two million, one hundred one thousand, three hundred fourteen".