152461310534336 has 56 divisors (see below), whose sum is σ = 305368218949920. Its totient is φ = 75518802358272.

The previous prime is 152461310534303. The next prime is 152461310534339. The reversal of 152461310534336 is 633435013164251.

It is not an unprimeable number, because it can be changed into a prime (152461310534339) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9478685 + ... + 19868771.

It is an arithmetic number, because the mean of its divisors is an integer number (5453003909820).

Almost surely, 2^{152461310534336} is an apocalyptic number.

152461310534336 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 152461310534336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152684109474960).

152461310534336 is an abundant number, since it is smaller than the sum of its proper divisors (152906908415584).

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

152461310534336 is a wasteful number, since it uses less digits than its factorization.

152461310534336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10392241 (or 10392231 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 47.

Adding to 152461310534336 its reverse (633435013164251), we get a palindrome (785896323698587).

The spelling of 152461310534336 in words is "one hundred fifty-two trillion, four hundred sixty-one billion, three hundred ten million, five hundred thirty-four thousand, three hundred thirty-six".