153688104 has 40 divisors (see below), whose sum is σ = 430470810. Its totient is φ = 51229152.

The previous prime is 153688103. The next prime is 153688123. The reversal of 153688104 is 401886351.

It can be written as a sum of positive squares in only one way, i.e., 77475204 + 76212900 = 8802^2 + 8730^2 .

It is a super-5 number, since 5×153688104⁵ (a number of 42 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (153688103) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 117939 + ... + 119234.

Almost surely, 2^153688104 is an apocalyptic number.

It is an amenable number.

153688104 is an abundant number, since it is smaller than the sum of its proper divisors (276782706).

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

153688104 is a wasteful number, since it uses less digits than its factorization.

153688104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237191 (or 237178 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 153688104 is about 12397.1006287761. The cubic root of 153688104 is about 535.6487358425.

The spelling of 153688104 in words is "one hundred fifty-three million, six hundred eighty-eight thousand, one hundred four".