145237210000 has 225 divisors, whose sum is σ = 364937027301. Its totient is φ = 55975968000.

The previous prime is 145237209983. The next prime is 145237210003. The reversal of 145237210000 is 12732541.

It is a happy number.

The square root of 145237210000 is 381100.

It is a perfect power (a square), and thus also a powerful number.

145237210000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 48222403216 + 97014806784 = 219596^2 + 311472^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (145237210003) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 1410069949 + ... + 1410070051.

Almost surely, 2^145237210000 is an apocalyptic number.

145237210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

145237210000 is the 381100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145237210000

145237210000 is an abundant number, since it is smaller than the sum of its proper divisors (219699817301).

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

145237210000 is an frugal number, since it uses more digits than its factorization.

145237210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

Multiplying 145237210000 by its sum of digits (25), we get a square (3630930250000 = 1905500²).

145237210000 divided by its sum of digits (25) gives a square (5809488400 = 76220²).

Adding to 145237210000 its reverse (12732541), we get a palindrome (145249942541).

The spelling of 145237210000 in words is "one hundred forty-five billion, two hundred thirty-seven million, two hundred ten thousand".