145626240 has 128 divisors (see below), whose sum is σ = 470995200. Its totient is φ = 38264832.

The previous prime is 145626227. The next prime is 145626253. The reversal of 145626240 is 42626541.

It is an interprime number because it is at equal distance from previous prime (145626227) and next prime (145626253).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 145626198 and 145626207.

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, 139641 + ... + 140679.

It is an arithmetic number, because the mean of its divisors is an integer number (3679650).

Almost surely, 2^145626240 is an apocalyptic number.

145626240 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 145626240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235497600).

145626240 is an abundant number, since it is smaller than the sum of its proper divisors (325368960).

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

145626240 is a wasteful number, since it uses less digits than its factorization.

145626240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 145626240 is about 12067.5697636268. The cubic root of 145626240 is about 526.1140244450.

It can be divided in two parts, 14562 and 6240, that added together give a palindrome (20802).

The spelling of 145626240 in words is "one hundred forty-five million, six hundred twenty-six thousand, two hundred forty".