145103640 has 128 divisors (see below), whose sum is σ = 487883520. Its totient is φ = 34214400.

The previous prime is 145103611. The next prime is 145103657. The reversal of 145103640 is 46301541.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 145103640.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 47355 + ... + 50325.

It is an arithmetic number, because the mean of its divisors is an integer number (3811590).

Almost surely, 2^145103640 is an apocalyptic number.

145103640 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 145103640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243941760).

145103640 is an abundant number, since it is smaller than the sum of its proper divisors (342779880).

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

145103640 is a wasteful number, since it uses less digits than its factorization.

145103640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3033 (or 3029 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 145103640 is about 12045.8972268570. The cubic root of 145103640 is about 525.4839256801.

The spelling of 145103640 in words is "one hundred forty-five million, one hundred three thousand, six hundred forty".