153809604 has 135 divisors (see below), whose sum is σ = 443767863. Its totient is φ = 46433088.

The previous prime is 153809599. The next prime is 153809633. The reversal of 153809604 is 406908351.

The square root of 153809604 is 12402.

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

153809604 is a `hidden beast` number, since 15 + 38 + 0 + 9 + 604 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3992004 + 149817600 = 1998^2 + 12240^2 .

It is a super-3 number, since 3×153809604³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2902042 + ... + 2902094.

Almost surely, 2^153809604 is an apocalyptic number.

153809604 is the 12402-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153809604

153809604 is an abundant number, since it is smaller than the sum of its proper divisors (289958259).

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

153809604 is a wasteful number, since it uses less digits than its factorization.

153809604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The cubic root of 153809604 is about 535.7898532029.

Multiplying 153809604 by its sum of digits (36), we get a square (5537145744 = 74412²).

153809604 divided by its sum of digits (36) gives a square (4272489 = 2067²).

The spelling of 153809604 in words is "one hundred fifty-three million, eight hundred nine thousand, six hundred four".