145601307456 has 112 divisors (see below), whose sum is σ = 421259130048. Its totient is φ = 44016537600.

The previous prime is 145601307437. The next prime is 145601307457. The reversal of 145601307456 is 654703106541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145601307457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 807276 + ... + 971028.

Almost surely, 2^145601307456 is an apocalyptic number.

145601307456 is a gapful number since it is divisible by the number (16) 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 145601307456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210629565024).

145601307456 is an abundant number, since it is smaller than the sum of its proper divisors (275657822592).

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

145601307456 is a wasteful number, since it uses less digits than its factorization.

145601307456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164200 (or 164190 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 145601307456 in words is "one hundred forty-five billion, six hundred one million, three hundred seven thousand, four hundred fifty-six".