145657344 has 320 divisors, whose sum is σ = 502824960. Its totient is φ = 36495360.

The previous prime is 145657333. The next prime is 145657357. The reversal of 145657344 is 443756541.

It is a happy number.

It is a super-2 number, since 2×145657344² = 42432123722268672, which 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 31 ways as a sum of consecutive naturals, for example, 4698609 + ... + 4698639.

It is an arithmetic number, because the mean of its divisors is an integer number (1571328).

Almost surely, 2^145657344 is an apocalyptic number.

145657344 is a gapful number since it is divisible by the number (14) 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 145657344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251412480).

145657344 is an abundant number, since it is smaller than the sum of its proper divisors (357167616).

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

145657344 is a wasteful number, since it uses less digits than its factorization.

145657344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 85 counting only the distinct ones).

The product of its digits is 201600, while the sum is 39.

The square root of 145657344 is about 12068.8584381457. The cubic root of 145657344 is about 526.1514789717.

The spelling of 145657344 in words is "one hundred forty-five million, six hundred fifty-seven thousand, three hundred forty-four".