144532151064 has 240 divisors, whose sum is σ = 491394697200. Its totient is φ = 39499270272.

The previous prime is 144532151051. The next prime is 144532151117. The reversal of 144532151064 is 460151235441.

144532151064 is a `hidden beast` number, since 1 + 4 + 4 + 532 + 15 + 106 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 631342 + ... + 829250.

It is an arithmetic number, because the mean of its divisors is an integer number (2047477905).

Almost surely, 2^144532151064 is an apocalyptic number.

144532151064 is a gapful number since it is divisible by the number (14) 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 144532151064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245697348600).

144532151064 is an abundant number, since it is smaller than the sum of its proper divisors (346862546136).

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

144532151064 is a wasteful number, since it uses less digits than its factorization.

144532151064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197964 (or 197944 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 144532151064 in words is "one hundred forty-four billion, five hundred thirty-two million, one hundred fifty-one thousand, sixty-four".