145070714880 has 1560 divisors, whose sum is σ = 661364405856. Its totient is φ = 29620961280.

The previous prime is 145070714857. The next prime is 145070714897. The reversal of 145070714880 is 88417070541.

It is a tau number, because it is divible by the number of its divisors (1560).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4679700465 + ... + 4679700495.

Almost surely, 2^145070714880 is an apocalyptic number.

145070714880 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 145070714880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330682202928).

145070714880 is an abundant number, since it is smaller than the sum of its proper divisors (516293690976).

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

145070714880 is an equidigital number, since it uses as much as digits as its factorization.

145070714880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 145070714880 in words is "one hundred forty-five billion, seventy million, seven hundred fourteen thousand, eight hundred eighty".