144194872900 has 243 divisors, whose sum is σ = 357006695031. Its totient is φ = 50525354880.

The previous prime is 144194872889. The next prime is 144194872931. The reversal of 144194872900 is 9278491441.

It is a happy number.

The square root of 144194872900 is 379730.

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

It can be written as a sum of positive squares in 4 ways, for example, as 37166441796 + 107028431104 = 192786^2 + 327152^2 .

It is a super-2 number, since 2×144194872900² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1135392637 + ... + 1135392763.

Almost surely, 2^144194872900 is an apocalyptic number.

144194872900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144194872900 is the 379730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144194872900

144194872900 is an abundant number, since it is smaller than the sum of its proper divisors (212811822131).

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

144194872900 is a wasteful number, since it uses less digits than its factorization.

144194872900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

Multiplying 144194872900 by its sum of digits (49), we get a square (7065548772100 = 2658110²).

The spelling of 144194872900 in words is "one hundred forty-four billion, one hundred ninety-four million, eight hundred seventy-two thousand, nine hundred".