152445040 has 80 divisors (see below), whose sum is σ = 390510720. Its totient is φ = 54882560.

The previous prime is 152445031. The next prime is 152445043. The reversal of 152445040 is 40544251.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 152444996 and 152445014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152445043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93351 + ... + 94969.

It is an arithmetic number, because the mean of its divisors is an integer number (4881384).

Almost surely, 2^152445040 is an apocalyptic number.

152445040 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 152445040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195255360).

152445040 is an abundant number, since it is smaller than the sum of its proper divisors (238065680).

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

152445040 is a wasteful number, since it uses less digits than its factorization.

152445040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 152445040 is about 12346.8635693442. The cubic root of 152445040 is about 534.2006755113.

Adding to 152445040 its reverse (40544251), we get a palindrome (192989291).

It can be divided in two parts, 1524 and 45040, that added together give a palindrome (46564).

The spelling of 152445040 in words is "one hundred fifty-two million, four hundred forty-five thousand, forty".