153649152 has 96 divisors (see below), whose sum is σ = 444720510. Its totient is φ = 51118080.

The previous prime is 153649129. The next prime is 153649169. The reversal of 153649152 is 251946351.

153649152 is a `hidden beast` number, since 1 + 5 + 3 + 649 + 1 + 5 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 141705216 + 11943936 = 11904^2 + 3456^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 294652 + ... + 295172.

Almost surely, 2^153649152 is an apocalyptic number.

153649152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153649152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222360255).

153649152 is an abundant number, since it is smaller than the sum of its proper divisors (291071358).

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

153649152 is an frugal number, since it uses more digits than its factorization.

153649152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 526 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 153649152 is about 12395.5295167250. The cubic root of 153649152 is about 535.6034789186.

The spelling of 153649152 in words is "one hundred fifty-three million, six hundred forty-nine thousand, one hundred fifty-two".