145884240 has 200 divisors, whose sum is σ = 518538240. Its totient is φ = 37995264.

The previous prime is 145884227. The next prime is 145884257. The reversal of 145884240 is 42488541.

It is a super-2 number, since 2×145884240² = 42564422960755200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 145884195 and 145884204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 304321 + ... + 304799.

Almost surely, 2^145884240 is an apocalyptic number.

145884240 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 145884240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259269120).

145884240 is an abundant number, since it is smaller than the sum of its proper divisors (372654000).

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

145884240 is a wasteful number, since it uses less digits than its factorization.

145884240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 145884240 is about 12078.2548408286. The cubic root of 145884240 is about 526.4245393105.

The spelling of 145884240 in words is "one hundred forty-five million, eight hundred eighty-four thousand, two hundred forty".