145904640 has 352 divisors, whose sum is σ = 565954560. Its totient is φ = 31358976.

The previous prime is 145904519. The next prime is 145904641. The reversal of 145904640 is 46409541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145904641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2472931 + ... + 2472989.

Almost surely, 2^145904640 is an apocalyptic number.

145904640 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 145904640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282977280).

145904640 is an abundant number, since it is smaller than the sum of its proper divisors (420049920).

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

145904640 is a wasteful number, since it uses less digits than its factorization.

145904640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 145904640 is about 12079.0993041700. The cubic root of 145904640 is about 526.4490760255.

The spelling of 145904640 in words is "one hundred forty-five million, nine hundred four thousand, six hundred forty".