145341840 has 240 divisors, whose sum is σ = 555714432. Its totient is φ = 31223808.

The previous prime is 145341829. The next prime is 145341841. The reversal of 145341840 is 48143541.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×145341840² = 42248500909171200, which contains 22 as substring.

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 = 145341798 and 145341807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145341841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199557 + ... + 200283.

Almost surely, 2^145341840 is an apocalyptic number.

145341840 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 145341840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277857216).

145341840 is an abundant number, since it is smaller than the sum of its proper divisors (410372592).

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

145341840 is a wasteful number, since it uses less digits than its factorization.

145341840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 145341840 is about 12055.7803563270. The cubic root of 145341840 is about 525.7713107082.

The spelling of 145341840 in words is "one hundred forty-five million, three hundred forty-one thousand, eight hundred forty".