145015723424 has 384 divisors, whose sum is σ = 383112011520. Its totient is φ = 52907212800.

The previous prime is 145015723409. The next prime is 145015723459. The reversal of 145015723424 is 424327510541.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60598772 + ... + 60601164.

It is an arithmetic number, because the mean of its divisors is an integer number (997687530).

Almost surely, 2^145015723424 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 145015723424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191556005760).

145015723424 is an abundant number, since it is smaller than the sum of its proper divisors (238096288096).

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

145015723424 is a wasteful number, since it uses less digits than its factorization.

145015723424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2504 (or 2496 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 38.

The spelling of 145015723424 in words is "one hundred forty-five billion, fifteen million, seven hundred twenty-three thousand, four hundred twenty-four".