145119152640 has 720 divisors, whose sum is σ = 593378333856. Its totient is φ = 30145167360.

The previous prime is 145119152557. The next prime is 145119152693. The reversal of 145119152640 is 46251911541.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45533127 + ... + 45536313.

Almost surely, 2^145119152640 is an apocalyptic number.

145119152640 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 145119152640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296689166928).

145119152640 is an abundant number, since it is smaller than the sum of its proper divisors (448259181216).

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

145119152640 is a wasteful number, since it uses less digits than its factorization.

145119152640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3249 (or 3215 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The spelling of 145119152640 in words is "one hundred forty-five billion, one hundred nineteen million, one hundred fifty-two thousand, six hundred forty".