145068042240 has 432 divisors, whose sum is σ = 552684705300. Its totient is φ = 35165306880.

The previous prime is 145068042239. The next prime is 145068042241. The reversal of 145068042240 is 42240860541.

145068042240 is a `hidden beast` number, since 14 + 506 + 80 + 4 + 22 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (145068042239) and next prime (145068042241).

It can be written as a sum of positive squares in 2 ways, for example, as 137385870336 + 7682171904 = 370656^2 + 87648^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 145068042195 and 145068042204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145068042241) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11144856 + ... + 11157864.

Almost surely, 2^145068042240 is an apocalyptic number.

145068042240 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 145068042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276342352650).

145068042240 is an abundant number, since it is smaller than the sum of its proper divisors (407616663060).

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

145068042240 is a wasteful number, since it uses less digits than its factorization.

145068042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13064 (or 13030 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 145068042240 in words is "one hundred forty-five billion, sixty-eight million, forty-two thousand, two hundred forty".