145529640 has 48 divisors (see below), whose sum is σ = 472972500. Its totient is φ = 38807808.

The previous prime is 145529633. The next prime is 145529647. The reversal of 145529640 is 46925541.

145529640 is a `hidden beast` number, since 1 + 4 + 5 + 5 + 2 + 9 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (145529633) and next prime (145529647).

It can be written as a sum of positive squares in 2 ways, for example, as 135070884 + 10458756 = 11622^2 + 3234^2 .

It is a super-2 number, since 2×145529640² = 42357752237059200, 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 = 145529595 and 145529604.

It is not an unprimeable number, because it can be changed into a prime (145529647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 201765 + ... + 202484.

Almost surely, 2^145529640 is an apocalyptic number.

145529640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145529640 is an abundant number, since it is smaller than the sum of its proper divisors (327442860).

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

145529640 is a wasteful number, since it uses less digits than its factorization.

145529640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404266 (or 404259 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 145529640 is about 12063.5666367787. The cubic root of 145529640 is about 525.9976675382.

The spelling of 145529640 in words is "one hundred forty-five million, five hundred twenty-nine thousand, six hundred forty".