152463414305200 has 180 divisors, whose sum is σ = 389135389841992. Its totient is φ = 57393873100800.

The previous prime is 152463414305173. The next prime is 152463414305201. The reversal of 152463414305200 is 2503414364251.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (152463414305201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1963658380 + ... + 1963736020.

Almost surely, 2^{152463414305200} is an apocalyptic number.

152463414305200 is a gapful number since it is divisible by the number (10) 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 152463414305200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194567694920996).

152463414305200 is an abundant number, since it is smaller than the sum of its proper divisors (236671975536792).

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

152463414305200 is a wasteful number, since it uses less digits than its factorization.

152463414305200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94680 (or 94652 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

Adding to 152463414305200 its reverse (2503414364251), we get a palindrome (154966828669451).

The spelling of 152463414305200 in words is "one hundred fifty-two trillion, four hundred sixty-three billion, four hundred fourteen million, three hundred five thousand, two hundred".