145333440 has 392 divisors, whose sum is σ = 599663520. Its totient is φ = 32845824.

The previous prime is 145333399. The next prime is 145333469. The reversal of 145333440 is 44333541.

It is a super-2 number, since 2×145333440² = 42243617564467200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1632916 + ... + 1633004.

Almost surely, 2^145333440 is an apocalyptic number.

145333440 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 145333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299831760).

145333440 is an abundant number, since it is smaller than the sum of its proper divisors (454330080).

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

145333440 is an frugal number, since it uses more digits than its factorization.

145333440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 145333440 is about 12055.4319706927. The cubic root of 145333440 is about 525.7611815669.

Adding to 145333440 its reverse (44333541), we get a palindrome (189666981).

The spelling of 145333440 in words is "one hundred forty-five million, three hundred thirty-three thousand, four hundred forty".