153000202240404 has 120 divisors (see below), whose sum is σ = 411368843333448. Its totient is φ = 49550897491200.

The previous prime is 153000202240387. The next prime is 153000202240421. The reversal of 153000202240404 is 404042202000351.

153000202240404 is a `hidden beast` number, since 1 + 5 + 30 + 0 + 0 + 2 + 0 + 224 + 0 + 404 = 666.

It is an interprime number because it is at equal distance from previous prime (153000202240387) and next prime (153000202240421).

It can be written as a sum of positive squares in 4 ways, for example, as 110521066410000 + 42479135830404 = 10512900^2 + 6517602^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 699679 + ... + 17506854.

Almost surely, 2^{153000202240404} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153000202240404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205684421666724).

153000202240404 is an abundant number, since it is smaller than the sum of its proper divisors (258368641093044).

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

153000202240404 is a wasteful number, since it uses less digits than its factorization.

153000202240404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18207287 (or 18207276 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 153000202240404 its reverse (404042202000351), we get a palindrome (557042404240755).

The spelling of 153000202240404 in words is "one hundred fifty-three trillion, two hundred two million, two hundred forty thousand, four hundred four".