152000145440 has 192 divisors, whose sum is σ = 422383393152. Its totient is φ = 50960179200.

The previous prime is 152000145439. The next prime is 152000145463. The reversal of 152000145440 is 44541000251.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21801155 + ... + 21808125.

It is an arithmetic number, because the mean of its divisors is an integer number (2199913506).

Almost surely, 2^152000145440 is an apocalyptic number.

152000145440 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 152000145440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211191696576).

152000145440 is an abundant number, since it is smaller than the sum of its proper divisors (270383247712).

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

152000145440 is a wasteful number, since it uses less digits than its factorization.

152000145440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7963 (or 7955 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

Adding to 152000145440 its reverse (44541000251), we get a palindrome (196541145691).

The spelling of 152000145440 in words is "one hundred fifty-two billion, one hundred forty-five thousand, four hundred forty".