144952032 has 96 divisors (see below), whose sum is σ = 400619520. Its totient is φ = 45826560.

The previous prime is 144951991. The next prime is 144952033. The reversal of 144952032 is 230259441.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×144952032² = 42022183161858048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144952033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157269 + ... + 158187.

It is an arithmetic number, because the mean of its divisors is an integer number (4173120).

Almost surely, 2^144952032 is an apocalyptic number.

144952032 is a gapful number since it is divisible by the number (12) 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 144952032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200309760).

144952032 is an abundant number, since it is smaller than the sum of its proper divisors (255667488).

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

144952032 is a wasteful number, since it uses less digits than its factorization.

144952032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 144952032 is about 12039.6026512506. The cubic root of 144952032 is about 525.3008488822.

The spelling of 144952032 in words is "one hundred forty-four million, nine hundred fifty-two thousand, thirty-two".