145040040 has 96 divisors (see below), whose sum is σ = 476166600. Its totient is φ = 38284800.

The previous prime is 145040033. The next prime is 145040057. The reversal of 145040040 is 40040541.

It can be written as a sum of positive squares in 4 ways, for example, as 140138244 + 4901796 = 11838^2 + 2214^2 .

It is a super-2 number, since 2×145040040² = 42073226406403200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 145039995 and 145040022.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34366 + ... + 38354.

Almost surely, 2^145040040 is an apocalyptic number.

145040040 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 145040040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238083300).

145040040 is an abundant number, since it is smaller than the sum of its proper divisors (331126560).

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

145040040 is a wasteful number, since it uses less digits than its factorization.

145040040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4107 (or 4100 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 145040040 is about 12043.2570345401. The cubic root of 145040040 is about 525.4071399617.

Adding to 145040040 its reverse (40040541), we get a palindrome (185080581).

The spelling of 145040040 in words is "one hundred forty-five million, forty thousand, forty".