153040000 has 80 divisors (see below), whose sum is σ = 381182670. Its totient is φ = 61184000.

The previous prime is 153039979. The next prime is 153040031. The reversal of 153040000 is 40351.

It can be written as a sum of positive squares in 5 ways, for example, as 14930496 + 138109504 = 3864^2 + 11752^2 .

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

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 9 ways as a sum of consecutive naturals, for example, 79044 + ... + 80956.

Almost surely, 2^153040000 is an apocalyptic number.

153040000 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 153040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190591335).

153040000 is an abundant number, since it is smaller than the sum of its proper divisors (228142670).

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

153040000 is an frugal number, since it uses more digits than its factorization.

153040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 153040000 is about 12370.9336753537. The cubic root of 153040000 is about 534.8947299210.

Adding to 153040000 its reverse (40351), we get a palindrome (153080351).

The spelling of 153040000 in words is "one hundred fifty-three million, forty thousand".