145413450624 has 128 divisors (see below), whose sum is σ = 418124397600. Its totient is φ = 44510478336.

The previous prime is 145413450569. The next prime is 145413450629. The reversal of 145413450624 is 426054314541.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×145413450624³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145413450629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 887992 + ... + 1038920.

Almost surely, 2^145413450624 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 145413450624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209062198800).

145413450624 is an abundant number, since it is smaller than the sum of its proper divisors (272710946976).

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

145413450624 is a wasteful number, since it uses less digits than its factorization.

145413450624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151152 (or 151140 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 145413450624 in words is "one hundred forty-five billion, four hundred thirteen million, four hundred fifty thousand, six hundred twenty-four".