153513120 has 48 divisors (see below), whose sum is σ = 483567840. Its totient is φ = 40936704.

The previous prime is 153513119. The next prime is 153513121. The reversal of 153513120 is 21315351.

It is an interprime number because it is at equal distance from previous prime (153513119) and next prime (153513121).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (153513121) 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 7 ways as a sum of consecutive naturals, for example, 159430 + ... + 160389.

It is an arithmetic number, because the mean of its divisors is an integer number (10074330).

Almost surely, 2^153513120 is an apocalyptic number.

153513120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153513120 is an abundant number, since it is smaller than the sum of its proper divisors (330054720).

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

153513120 is a wasteful number, since it uses less digits than its factorization.

153513120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319837 (or 319829 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 153513120 is about 12390.0411621592. The cubic root of 153513120 is about 535.4453682189.

Adding to 153513120 its reverse (21315351), we get a palindrome (174828471).

The spelling of 153513120 in words is "one hundred fifty-three million, five hundred thirteen thousand, one hundred twenty".