145305913440 has 96 divisors (see below), whose sum is σ = 463507591680. Its totient is φ = 38257749504.

The previous prime is 145305913433. The next prime is 145305913469. The reversal of 145305913440 is 44319503541.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×145305913440² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1878034 + ... + 1953873.

It is an arithmetic number, because the mean of its divisors is an integer number (4828204080).

Almost surely, 2^145305913440 is an apocalyptic number.

145305913440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145305913440 is an abundant number, since it is smaller than the sum of its proper divisors (318201678240).

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

145305913440 is a wasteful number, since it uses less digits than its factorization.

145305913440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3832004 (or 3831996 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 145305913440 in words is "one hundred forty-five billion, three hundred five million, nine hundred thirteen thousand, four hundred forty".