145265640 has 256 divisors, whose sum is σ = 514080000. Its totient is φ = 32707584.

The previous prime is 145265609. The next prime is 145265647. The reversal of 145265640 is 46562541.

It is a super-2 number, since 2×145265640² = 42204212329219200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145265647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5009146 + ... + 5009174.

It is an arithmetic number, because the mean of its divisors is an integer number (2008125).

Almost surely, 2^145265640 is an apocalyptic number.

145265640 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 145265640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257040000).

145265640 is an abundant number, since it is smaller than the sum of its proper divisors (368814360).

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

145265640 is a wasteful number, since it uses less digits than its factorization.

145265640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 145265640 is about 12052.6196322625. The cubic root of 145265640 is about 525.6794106343.

The spelling of 145265640 in words is "one hundred forty-five million, two hundred sixty-five thousand, six hundred forty".