145538496 has 168 divisors, whose sum is σ = 449336160. Its totient is φ = 44875776.

The previous prime is 145538483. The next prime is 145538507. The reversal of 145538496 is 694835541.

145538496 is a `hidden beast` number, since 1 + 4 + 553 + 8 + 4 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 871405 + ... + 871571.

It is an arithmetic number, because the mean of its divisors is an integer number (2674620).

Almost surely, 2^145538496 is an apocalyptic number.

145538496 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 145538496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224668080).

145538496 is an abundant number, since it is smaller than the sum of its proper divisors (303797664).

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

145538496 is a wasteful number, since it uses less digits than its factorization.

145538496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 278 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 145538496 is about 12063.9336868204. The cubic root of 145538496 is about 526.0083369360.

The spelling of 145538496 in words is "one hundred forty-five million, five hundred thirty-eight thousand, four hundred ninety-six".