145214040 has 64 divisors (see below), whose sum is σ = 439538400. Its totient is φ = 38377472.

The previous prime is 145214039. The next prime is 145214101. The reversal of 145214040 is 40412541.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 145213998 and 145214016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8206 + ... + 18914.

Almost surely, 2^145214040 is an apocalyptic number.

145214040 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 145214040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219769200).

145214040 is an abundant number, since it is smaller than the sum of its proper divisors (294324360).

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

145214040 is a wasteful number, since it uses less digits than its factorization.

145214040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10836 (or 10832 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 145214040 is about 12050.4788286607. The cubic root of 145214040 is about 525.6171608370.

Adding to 145214040 its reverse (40412541), we get a palindrome (185626581).

It can be divided in two parts, 145 and 214040, that added together give a triangular number (214185 = T₆₅₄).

The spelling of 145214040 in words is "one hundred forty-five million, two hundred fourteen thousand, forty".