153209616400 has 45 divisors (see below), whose sum is σ = 368104912093. Its totient is φ = 61280715200.

The previous prime is 153209616349. The next prime is 153209616457. The reversal of 153209616400 is 4616902351.

The square root of 153209616400 is 391420.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 55155461904 + 98054154496 = 234852^2 + 313136^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 153209616400.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7818615 + ... + 7838185.

Almost surely, 2^153209616400 is an apocalyptic number.

153209616400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

153209616400 is the 391420-th square number.

It is an amenable number.

153209616400 is an abundant number, since it is smaller than the sum of its proper divisors (214895295693).

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

153209616400 is an frugal number, since it uses more digits than its factorization.

153209616400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39160 (or 19578 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The spelling of 153209616400 in words is "one hundred fifty-three billion, two hundred nine million, six hundred sixteen thousand, four hundred".