145299840 has 256 divisors, whose sum is σ = 558144000. Its totient is φ = 31408128.

The previous prime is 145299779. The next prime is 145299863. The reversal of 145299840 is 48992541.

145299840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145299840² = 42224087008051200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 145299792 and 145299801.

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, 255076 + ... + 255644.

It is an arithmetic number, because the mean of its divisors is an integer number (2180250).

Almost surely, 2^145299840 is an apocalyptic number.

145299840 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 145299840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279072000).

145299840 is an abundant number, since it is smaller than the sum of its proper divisors (412844160).

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

145299840 is a wasteful number, since it uses less digits than its factorization.

145299840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 145299840 is about 12054.0383274652. The cubic root of 145299840 is about 525.7206610983.

The spelling of 145299840 in words is "one hundred forty-five million, two hundred ninety-nine thousand, eight hundred forty".