144983513136 has 320 divisors, whose sum is σ = 481179488256. Its totient is φ = 36518169600.

The previous prime is 144983513131. The next prime is 144983513159. The reversal of 144983513136 is 631315389441.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (144983513131) 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, 45263311 + ... + 45266513.

Almost surely, 2^144983513136 is an apocalyptic number.

144983513136 is a gapful number since it is divisible by the number (16) 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 144983513136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240589744128).

144983513136 is an abundant number, since it is smaller than the sum of its proper divisors (336195975120).

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

144983513136 is a wasteful number, since it uses less digits than its factorization.

144983513136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3600 (or 3594 counting only the distinct ones).

The product of its digits is 933120, while the sum is 48.

The spelling of 144983513136 in words is "one hundred forty-four billion, nine hundred eighty-three million, five hundred thirteen thousand, one hundred thirty-six".