145345076240 has 160 divisors (see below), whose sum is σ = 416101867776. Its totient is φ = 45978163200.

The previous prime is 145345076231. The next prime is 145345076267. The reversal of 145345076240 is 42670543541.

145345076240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145345076240² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25717415 + ... + 25723065.

Almost surely, 2^145345076240 is an apocalyptic number.

145345076240 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 145345076240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208050933888).

145345076240 is an abundant number, since it is smaller than the sum of its proper divisors (270756791536).

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

145345076240 is a wasteful number, since it uses less digits than its factorization.

145345076240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9217 (or 9211 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 41.

The spelling of 145345076240 in words is "one hundred forty-five billion, three hundred forty-five million, seventy-six thousand, two hundred forty".