152746211344 has 80 divisors (see below), whose sum is σ = 308228843520. Its totient is φ = 73240312320.

The previous prime is 152746211341. The next prime is 152746211357. The reversal of 152746211344 is 443112647251.

It is a junction number, because it is equal to n+sod(n) for n = 152746211297 and 152746211306.

It is not an unprimeable number, because it can be changed into a prime (152746211341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98992237 + ... + 98993779.

It is an arithmetic number, because the mean of its divisors is an integer number (3852860544).

Almost surely, 2^152746211344 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 152746211344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154114421760).

152746211344 is an abundant number, since it is smaller than the sum of its proper divisors (155482632176).

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

152746211344 is a wasteful number, since it uses less digits than its factorization.

152746211344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2888 (or 2882 counting only the distinct ones).

The product of its digits is 161280, while the sum is 40.

Adding to 152746211344 its reverse (443112647251), we get a palindrome (595858858595).

The spelling of 152746211344 in words is "one hundred fifty-two billion, seven hundred forty-six million, two hundred eleven thousand, three hundred forty-four".