145562514240 has 448 divisors, whose sum is σ = 571545354240. Its totient is φ = 30858485760.

The previous prime is 145562514217. The next prime is 145562514289. The reversal of 145562514240 is 42415265541.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2580417 + ... + 2636223.

It is an arithmetic number, because the mean of its divisors is an integer number (1275770880).

Almost surely, 2^145562514240 is an apocalyptic number.

145562514240 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 145562514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285772677120).

145562514240 is an abundant number, since it is smaller than the sum of its proper divisors (425982840000).

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

145562514240 is a wasteful number, since it uses less digits than its factorization.

145562514240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55870 (or 55860 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 39.

Adding to 145562514240 its reverse (42415265541), we get a palindrome (187977779781).

The spelling of 145562514240 in words is "one hundred forty-five billion, five hundred sixty-two million, five hundred fourteen thousand, two hundred forty".