145529040 has 80 divisors (see below), whose sum is σ = 452346048. Its totient is φ = 38704128.

The previous prime is 145529039. The next prime is 145529051. The reversal of 145529040 is 40925541.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 145528989 and 145529007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140364 + ... + 141396.

Almost surely, 2^145529040 is an apocalyptic number.

145529040 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 145529040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226173024).

145529040 is an abundant number, since it is smaller than the sum of its proper divisors (306817008).

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

145529040 is a wasteful number, since it uses less digits than its factorization.

145529040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 145529040 is about 12063.5417684857. The cubic root of 145529040 is about 525.9969446636.

The spelling of 145529040 in words is "one hundred forty-five million, five hundred twenty-nine thousand, forty".