145766029200 has 480 divisors, whose sum is σ = 529949831040. Its totient is φ = 33924710400.

The previous prime is 145766029183. The next prime is 145766029223. The reversal of 145766029200 is 2920667541.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73879414 + ... + 73881386.

It is an arithmetic number, because the mean of its divisors is an integer number (1104062148).

Almost surely, 2^145766029200 is an apocalyptic number.

145766029200 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 145766029200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264974915520).

145766029200 is an abundant number, since it is smaller than the sum of its proper divisors (384183801840).

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

145766029200 is a wasteful number, since it uses less digits than its factorization.

145766029200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2227 (or 2216 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 145766029200 in words is "one hundred forty-five billion, seven hundred sixty-six million, twenty-nine thousand, two hundred".