145504028517120 has 3456 divisors, whose sum is σ = 669211559976960. Its totient is φ = 28350763499520.

The previous prime is 145504028516999. The next prime is 145504028517163. The reversal of 145504028517120 is 21715820405541.

145504028517120 is a `hidden beast` number, since 1 + 4 + 5 + 5 + 0 + 4 + 0 + 2 + 8 + 517 + 120 = 666.

It is a super-2 number, since 2×145504028517120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 101822272566 + ... + 101822273994.

It is an arithmetic number, because the mean of its divisors is an integer number (193637604160).

Almost surely, 2^{145504028517120} is an apocalyptic number.

145504028517120 is a gapful number since it is divisible by the number (10) 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 145504028517120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334605779988480).

145504028517120 is an abundant number, since it is smaller than the sum of its proper divisors (523707531459840).

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

145504028517120 is a wasteful number, since it uses less digits than its factorization.

145504028517120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 45.

The spelling of 145504028517120 in words is "one hundred forty-five trillion, five hundred four billion, twenty-eight million, five hundred seventeen thousand, one hundred twenty".