145022011200 has 1176 divisors, whose sum is σ = 594866211840. Its totient is φ = 34488115200.

The previous prime is 145022011181. The next prime is 145022011237. The reversal of 145022011200 is 2110220541.

145022011200 is a `hidden beast` number, since 1 + 450 + 2 + 2 + 0 + 11 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1141905537 + ... + 1141905663.

Almost surely, 2^145022011200 is an apocalyptic number.

145022011200 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 145022011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297433105920).

145022011200 is an abundant number, since it is smaller than the sum of its proper divisors (449844200640).

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

145022011200 is a wasteful number, since it uses less digits than its factorization.

145022011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 145022011200 its reverse (2110220541), we get a palindrome (147132231741).

The spelling of 145022011200 in words is "one hundred forty-five billion, twenty-two million, eleven thousand, two hundred".