4532134152000 has 1792 divisors, whose sum is σ = 19214279884800. Its totient is φ = 915502694400.

The previous prime is 4532134151983. The next prime is 4532134152019. The reversal of 4532134152000 is 2514312354.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10323767781 + ... + 10323768219.

It is an arithmetic number, because the mean of its divisors is an integer number (10722254400).

Almost surely, 2^{4532134152000} is an apocalyptic number.

4532134152000 is a gapful number since it is divisible by the number (40) 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 4532134152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9607139942400).

4532134152000 is an abundant number, since it is smaller than the sum of its proper divisors (14682145732800).

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

4532134152000 is a wasteful number, since it uses less digits than its factorization.

4532134152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 4532134152000 its reverse (2514312354), we get a palindrome (4534648464354).

The spelling of 4532134152000 in words is "four trillion, five hundred thirty-two billion, one hundred thirty-four million, one hundred fifty-two thousand".