144892714900 has 72 divisors (see below), whose sum is σ = 315519789816. Its totient is φ = 57754214400.

The previous prime is 144892714831. The next prime is 144892714907. The reversal of 144892714900 is 9417298441.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 2384954896 + 142507760004 = 48836^2 + 377502^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144892714907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45038092 + ... + 45041308.

It is an arithmetic number, because the mean of its divisors is an integer number (4382219303).

Almost surely, 2^144892714900 is an apocalyptic number.

144892714900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144892714900 is an abundant number, since it is smaller than the sum of its proper divisors (170627074916).

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

144892714900 is a wasteful number, since it uses less digits than its factorization.

144892714900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4669 (or 4662 counting only the distinct ones).

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

The spelling of 144892714900 in words is "one hundred forty-four billion, eight hundred ninety-two million, seven hundred fourteen thousand, nine hundred".