145290240 has 176 divisors, whose sum is σ = 516826560. Its totient is φ = 38707200.

The previous prime is 145290239. The next prime is 145290247. The reversal of 145290240 is 42092541.

It is a super-2 number, since 2×145290240² = 42218507678515200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145290247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137715 + ... + 138765.

Almost surely, 2^145290240 is an apocalyptic number.

145290240 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 145290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258413280).

145290240 is an abundant number, since it is smaller than the sum of its proper divisors (371536320).

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

145290240 is a wasteful number, since it uses less digits than its factorization.

145290240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 145290240 is about 12053.6401140900. The cubic root of 145290240 is about 525.7090826742.

It can be divided in two parts, 145290 and 240, that added together give a triangular number (145530 = T₅₃₉).

The spelling of 145290240 in words is "one hundred forty-five million, two hundred ninety thousand, two hundred forty".