152022140310 has 128 divisors (see below), whose sum is σ = 388595957760. Its totient is φ = 38003097600.

The previous prime is 152022140293. The next prime is 152022140317. The reversal of 152022140310 is 13041220251.

152022140310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×152022140310² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152022140317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3874390 + ... + 3913430.

It is an arithmetic number, because the mean of its divisors is an integer number (3035905920).

Almost surely, 2^152022140310 is an apocalyptic number.

152022140310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 152022140310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194297978880).

152022140310 is an abundant number, since it is smaller than the sum of its proper divisors (236573817450).

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

152022140310 is a wasteful number, since it uses less digits than its factorization.

152022140310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39214.

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 152022140310 its reverse (13041220251), we get a palindrome (165063360561).

It can be divided in two parts, 15202 and 2140310, that added together give a palindrome (2155512).

The spelling of 152022140310 in words is "one hundred fifty-two billion, twenty-two million, one hundred forty thousand, three hundred ten".