153672120 has 128 divisors (see below), whose sum is σ = 585446400. Its totient is φ = 35123328.

The previous prime is 153672119. The next prime is 153672139. The reversal of 153672120 is 21276351.

It is a happy number.

153672120 is a `hidden beast` number, since 1 + 536 + 7 + 2 + 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 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 31 ways as a sum of consecutive naturals, for example, 2604 + ... + 17723.

It is an arithmetic number, because the mean of its divisors is an integer number (4573800).

Almost surely, 2^153672120 is an apocalyptic number.

153672120 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 153672120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292723200).

153672120 is an abundant number, since it is smaller than the sum of its proper divisors (431774280).

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

153672120 is a wasteful number, since it uses less digits than its factorization.

153672120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20354 (or 20344 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 153672120 is about 12396.4559451482. The cubic root of 153672120 is about 535.6301655346.

The spelling of 153672120 in words is "one hundred fifty-three million, six hundred seventy-two thousand, one hundred twenty".