145257984 has 120 divisors (see below), whose sum is σ = 434079360. Its totient is φ = 46706688.

The previous prime is 145257953. The next prime is 145257989. The reversal of 145257984 is 489752541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145257989) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133089 + ... + 134175.

It is an arithmetic number, because the mean of its divisors is an integer number (3617328).

Almost surely, 2^145257984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145257984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217039680).

145257984 is an abundant number, since it is smaller than the sum of its proper divisors (288821376).

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

145257984 is a wasteful number, since it uses less digits than its factorization.

145257984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1121 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 145257984 is about 12052.3020207759. The cubic root of 145257984 is about 525.6701754330.

The spelling of 145257984 in words is "one hundred forty-five million, two hundred fifty-seven thousand, nine hundred eighty-four".