1551345120 has 288 divisors, whose sum is σ = 5778864000. Its totient is φ = 376676352.

The previous prime is 1551345113. The next prime is 1551345137. The reversal of 1551345120 is 215431551.

1551345120 is a `hidden beast` number, since 15 + 5 + 134 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1478356 + ... + 1479404.

It is an arithmetic number, because the mean of its divisors is an integer number (20065500).

Almost surely, 2^1551345120 is an apocalyptic number.

1551345120 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 1551345120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2889432000).

1551345120 is an abundant number, since it is smaller than the sum of its proper divisors (4227518880).

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

1551345120 is a wasteful number, since it uses less digits than its factorization.

1551345120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 1551345120 is about 39387.1187065010. The cubic root of 1551345120 is about 1157.6292046651.

Adding to 1551345120 its reverse (215431551), we get a palindrome (1766776671).

The spelling of 1551345120 in words is "one billion, five hundred fifty-one million, three hundred forty-five thousand, one hundred twenty".