145893440 has 224 divisors, whose sum is σ = 449445888. Its totient is φ = 43776000.

The previous prime is 145893437. The next prime is 145893469. The reversal of 145893440 is 44398541.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 145893394 and 145893403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 763745 + ... + 763935.

Almost surely, 2^145893440 is an apocalyptic number.

145893440 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 145893440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224722944).

145893440 is an abundant number, since it is smaller than the sum of its proper divisors (303552448).

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

145893440 is a wasteful number, since it uses less digits than its factorization.

145893440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 145893440 is about 12078.6356845465. The cubic root of 145893440 is about 526.4356051710.

The spelling of 145893440 in words is "one hundred forty-five million, eight hundred ninety-three thousand, four hundred forty".