152181212736 has 224 divisors, whose sum is σ = 474310545408. Its totient is φ = 42157117440.

The previous prime is 152181212717. The next prime is 152181212737. The reversal of 152181212736 is 637212181251.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 152181212694 and 152181212703.

It is not an unprimeable number, because it can be changed into a prime (152181212737) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8973481 + ... + 8990423.

It is an arithmetic number, because the mean of its divisors is an integer number (2117457792).

Almost surely, 2^152181212736 is an apocalyptic number.

152181212736 is a gapful number since it is divisible by the number (16) 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 152181212736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237155272704).

152181212736 is an abundant number, since it is smaller than the sum of its proper divisors (322129332672).

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

152181212736 is a wasteful number, since it uses less digits than its factorization.

152181212736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17169 (or 17159 counting only the distinct ones).

The product of its digits is 40320, while the sum is 39.

Adding to 152181212736 its reverse (637212181251), we get a palindrome (789393393987).

The spelling of 152181212736 in words is "one hundred fifty-two billion, one hundred eighty-one million, two hundred twelve thousand, seven hundred thirty-six".