213145504000 has 432 divisors, whose sum is σ = 627401908224. Its totient is φ = 71525376000.

The previous prime is 213145503983. The next prime is 213145504003. The reversal of 213145504000 is 405541312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (213145504003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59486209 + ... + 59489791.

It is an arithmetic number, because the mean of its divisors is an integer number (1452319232).

Almost surely, 2^213145504000 is an apocalyptic number.

213145504000 is a gapful number since it is divisible by the number (20) 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 213145504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313700954112).

213145504000 is an abundant number, since it is smaller than the sum of its proper divisors (414256404224).

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

213145504000 is a wasteful number, since it uses less digits than its factorization.

213145504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3651 (or 3614 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 213145504000 in words is "two hundred thirteen billion, one hundred forty-five million, five hundred four thousand".