30153120 has 48 divisors (see below), whose sum is σ = 94983840. Its totient is φ = 8040704.

The previous prime is 30153119. The next prime is 30153139. The reversal of 30153120 is 2135103.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30153120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30930 + ... + 31889.

It is an arithmetic number, because the mean of its divisors is an integer number (1978830).

Almost surely, 2^30153120 is an apocalyptic number.

30153120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30153120 is an abundant number, since it is smaller than the sum of its proper divisors (64830720).

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

30153120 is a wasteful number, since it uses less digits than its factorization.

30153120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62837 (or 62829 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 30153120 is about 5491.1856643170. The cubic root of 30153120 is about 311.2509975614.

Adding to 30153120 its reverse (2135103), we get a palindrome (32288223).

The spelling of 30153120 in words is "thirty million, one hundred fifty-three thousand, one hundred twenty".