145359984 has 160 divisors (see below), whose sum is σ = 475969536. Its totient is φ = 37128960.

The previous prime is 145359983. The next prime is 145359989. The reversal of 145359984 is 489953541.

It is a super-2 number, since 2×145359984² = 42259049896960512, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145359983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247339 + ... + 247925.

Almost surely, 2^145359984 is an apocalyptic number.

145359984 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 145359984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237984768).

145359984 is an abundant number, since it is smaller than the sum of its proper divisors (330609552).

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

145359984 is a wasteful number, since it uses less digits than its factorization.

145359984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 677 counting only the distinct ones).

The product of its digits is 777600, while the sum is 48.

The square root of 145359984 is about 12056.5328349406. The cubic root of 145359984 is about 525.7931883215.

The spelling of 145359984 in words is "one hundred forty-five million, three hundred fifty-nine thousand, nine hundred eighty-four".