144902407680 has 640 divisors, whose sum is σ = 549839093760. Its totient is φ = 36044144640.

The previous prime is 144902407673. The next prime is 144902407681. The reversal of 144902407680 is 86704209441.

144902407680 is a `hidden beast` number, since 14 + 490 + 2 + 4 + 0 + 76 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144902407681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 149229595 + ... + 149230565.

It is an arithmetic number, because the mean of its divisors is an integer number (859123584).

Almost surely, 2^144902407680 is an apocalyptic number.

144902407680 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 144902407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274919546880).

144902407680 is an abundant number, since it is smaller than the sum of its proper divisors (404936686080).

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

144902407680 is a wasteful number, since it uses less digits than its factorization.

144902407680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 144902407680 in words is "one hundred forty-four billion, nine hundred two million, four hundred seven thousand, six hundred eighty".