145570740480 has 864 divisors, whose sum is σ = 584975139840. Its totient is φ = 33051525120.

The previous prime is 145570740443. The next prime is 145570740517. The reversal of 145570740480 is 84047075541.

145570740480 is a `hidden beast` number, since 1 + 4 + 5 + 570 + 74 + 0 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (145570740443) and next prime (145570740517).

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 95 ways as a sum of consecutive naturals, for example, 247990747 + ... + 247991333.

It is an arithmetic number, because the mean of its divisors is an integer number (677054560).

Almost surely, 2^145570740480 is an apocalyptic number.

145570740480 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 145570740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292487569920).

145570740480 is an abundant number, since it is smaller than the sum of its proper divisors (439404399360).

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

145570740480 is a wasteful number, since it uses less digits than its factorization.

145570740480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The spelling of 145570740480 in words is "one hundred forty-five billion, five hundred seventy million, seven hundred forty thousand, four hundred eighty".