145430130240 has 224 divisors, whose sum is σ = 513447792000. Its totient is φ = 38750939136.

The previous prime is 145430130229. The next prime is 145430130247. The reversal of 145430130240 is 42031034541.

It is a happy number.

145430130240 is a `hidden beast` number, since 1 + 4 + 54 + 301 + 302 + 4 + 0 = 666.

It is a super-2 number, since 2×145430130240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (145430130247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12340671 + ... + 12352449.

Almost surely, 2^145430130240 is an apocalyptic number.

145430130240 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 145430130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256723896000).

145430130240 is an abundant number, since it is smaller than the sum of its proper divisors (368017661760).

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

145430130240 is a wasteful number, since it uses less digits than its factorization.

145430130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13234 (or 13218 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 145430130240 its reverse (42031034541), we get a palindrome (187461164781).

The spelling of 145430130240 in words is "one hundred forty-five billion, four hundred thirty million, one hundred thirty thousand, two hundred forty".