153204001600 has 84 divisors (see below), whose sum is σ = 405975928204. Its totient is φ = 56567623680.

The previous prime is 153204001589. The next prime is 153204001607. The reversal of 153204001600 is 6100402351.

It can be written as a sum of positive squares in 6 ways, for example, as 3779136 + 153200222464 = 1944^2 + 391408^2 .

It is a super-2 number, since 2×153204001600² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153204001607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3661989 + ... + 3703588.

Almost surely, 2^153204001600 is an apocalyptic number.

153204001600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153204001600 is an abundant number, since it is smaller than the sum of its proper divisors (252771926604).

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

153204001600 is a wasteful number, since it uses less digits than its factorization.

153204001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7365612 (or 7365597 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 153204001600 its reverse (6100402351), we get a palindrome (159304403951).

The spelling of 153204001600 in words is "one hundred fifty-three billion, two hundred four million, one thousand, six hundred".