153283461120 has 480 divisors, whose sum is σ = 544713741000. Its totient is φ = 39862665216.

The previous prime is 153283461113. The next prime is 153283461137. The reversal of 153283461120 is 21164382351.

153283461120 is a `hidden beast` number, since 1 + 5 + 3 + 2 + 8 + 34 + 611 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 105038217216 + 48245243904 = 324096^2 + 219648^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1722286036 + ... + 1722286124.

Almost surely, 2^153283461120 is an apocalyptic number.

153283461120 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 153283461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272356870500).

153283461120 is an abundant number, since it is smaller than the sum of its proper divisors (391430279880).

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

153283461120 is an frugal number, since it uses more digits than its factorization.

153283461120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 153283461120 in words is "one hundred fifty-three billion, two hundred eighty-three million, four hundred sixty-one thousand, one hundred twenty".