153861120 has 440 divisors, whose sum is σ = 642004704. Its totient is φ = 34504704.

The previous prime is 153861083. The next prime is 153861121. The reversal of 153861120 is 21168351.

153861120 is a `hidden beast` number, since 1 + 538 + 6 + 1 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153861121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2903014 + ... + 2903066.

Almost surely, 2^153861120 is an apocalyptic number.

153861120 is a gapful number since it is divisible by the number (10) 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 153861120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321002352).

153861120 is an abundant number, since it is smaller than the sum of its proper divisors (488143584).

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

153861120 is an equidigital number, since it uses as much as digits as its factorization.

153861120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 153861120 is about 12404.0767491982. The cubic root of 153861120 is about 535.8496645288.

The spelling of 153861120 in words is "one hundred fifty-three million, eight hundred sixty-one thousand, one hundred twenty".