153213120 has 280 divisors, whose sum is σ = 570914784. Its totient is φ = 38928384.

The previous prime is 153213083. The next prime is 153213127. The reversal of 153213120 is 21312351.

153213120 is a `hidden beast` number, since 1 + 532 + 13 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 153213093 and 153213102.

It is not an unprimeable number, because it can be changed into a prime (153213127) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 596032 + ... + 596288.

Almost surely, 2^153213120 is an apocalyptic number.

153213120 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 153213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285457392).

153213120 is an abundant number, since it is smaller than the sum of its proper divisors (417701664).

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

153213120 is a wasteful number, since it uses less digits than its factorization.

153213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 153213120 is about 12377.9287443417. The cubic root of 153213120 is about 535.0963462317.

Adding to 153213120 its reverse (21312351), we get a palindrome (174525471).

The spelling of 153213120 in words is "one hundred fifty-three million, two hundred thirteen thousand, one hundred twenty".