1146251520 has 288 divisors, whose sum is σ = 4309079040. Its totient is φ = 287539200.

The previous prime is 1146251507. The next prime is 1146251531. The reversal of 1146251520 is 251526411.

1146251520 is a `hidden beast` number, since 1 + 1 + 4 + 625 + 15 + 20 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 586545 + ... + 588495.

It is an arithmetic number, because the mean of its divisors is an integer number (14962080).

Almost surely, 2^1146251520 is an apocalyptic number.

1146251520 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 1146251520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2154539520).

1146251520 is an abundant number, since it is smaller than the sum of its proper divisors (3162827520).

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

1146251520 is a wasteful number, since it uses less digits than its factorization.

1146251520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1146251520 is about 33856.3364822599. The cubic root of 1146251520 is about 1046.5499827100.

Adding to 1146251520 its reverse (251526411), we get a palindrome (1397777931).

The spelling of 1146251520 in words is "one billion, one hundred forty-six million, two hundred fifty-one thousand, five hundred twenty".