145410048 has 288 divisors, whose sum is σ = 511056000. Its totient is φ = 39739392.

The previous prime is 145410029. The next prime is 145410053. The reversal of 145410048 is 840014541.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×145410048² = 42288164118724608, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6322165 + ... + 6322187.

It is an arithmetic number, because the mean of its divisors is an integer number (1774500).

Almost surely, 2^145410048 is an apocalyptic number.

145410048 is a gapful number since it is divisible by the number (18) 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 145410048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255528000).

145410048 is an abundant number, since it is smaller than the sum of its proper divisors (365645952).

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

145410048 is an equidigital number, since it uses as much as digits as its factorization.

145410048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 145410048 is about 12058.6088749905. The cubic root of 145410048 is about 525.8535448882.

Adding to 145410048 its reverse (840014541), we get a palindrome (985424589).

The spelling of 145410048 in words is "one hundred forty-five million, four hundred ten thousand, forty-eight".