152445415200 has 576 divisors, whose sum is σ = 546525020160. Its totient is φ = 36682813440.

The previous prime is 152445415193. The next prime is 152445415201. The reversal of 152445415200 is 2514544251.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (152445415201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 313029357 + ... + 313029843.

It is an arithmetic number, because the mean of its divisors is an integer number (948828160).

Almost surely, 2^152445415200 is an apocalyptic number.

152445415200 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 152445415200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273262510080).

152445415200 is an abundant number, since it is smaller than the sum of its proper divisors (394079604960).

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

152445415200 is a wasteful number, since it uses less digits than its factorization.

152445415200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 33.

Adding to 152445415200 its reverse (2514544251), we get a palindrome (154959959451).

It can be divided in two parts, 152445 and 415200, that added together give a triangular number (567645 = T₁₀₆₅).

The spelling of 152445415200 in words is "one hundred fifty-two billion, four hundred forty-five million, four hundred fifteen thousand, two hundred".