145649495040 has 704 divisors, whose sum is σ = 552654627840. Its totient is φ = 32051036160.

The previous prime is 145649495039. The next prime is 145649495051. The reversal of 145649495040 is 40594946541.

It is a happy 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, 347611951 + ... + 347612369.

Almost surely, 2^145649495040 is an apocalyptic number.

145649495040 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 145649495040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276327313920).

145649495040 is an abundant number, since it is smaller than the sum of its proper divisors (407005132800).

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

145649495040 is a wasteful number, since it uses less digits than its factorization.

145649495040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The spelling of 145649495040 in words is "one hundred forty-five billion, six hundred forty-nine million, four hundred ninety-five thousand, forty".