145307256054528 has 144 divisors (see below), whose sum is σ = 396667393879680. Its totient is φ = 47196424568832.

The previous prime is 145307256054509. The next prime is 145307256054553. The reversal of 145307256054528 is 825450652703541.

It is a super-2 number, since 2×145307256054528² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8586400 + ... + 19087712.

It is an arithmetic number, because the mean of its divisors is an integer number (2754634679720).

Almost surely, 2^{145307256054528} 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 145307256054528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198333696939840).

145307256054528 is an abundant number, since it is smaller than the sum of its proper divisors (251360137825152).

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

145307256054528 is a wasteful number, since it uses less digits than its factorization.

145307256054528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10501794 (or 10501780 counting only the distinct ones).

The product of its (nonzero) digits is 40320000, while the sum is 57.

The spelling of 145307256054528 in words is "one hundred forty-five trillion, three hundred seven billion, two hundred fifty-six million, fifty-four thousand, five hundred twenty-eight".