1153146240 has 128 divisors (see below), whose sum is σ = 4084120800. Its totient is φ = 307501056.

The previous prime is 1153146229. The next prime is 1153146251. The reversal of 1153146240 is 426413511.

It is a happy number.

1153146240 is a `hidden beast` number, since 1 + 1 + 5 + 31 + 4 + 624 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1153146229) and next prime (1153146251).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1153146240² = 2659492501652275200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16087 + ... + 50646.

Almost surely, 2^1153146240 is an apocalyptic number.

1153146240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1153146240 is an abundant number, since it is smaller than the sum of its proper divisors (2930974560).

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

1153146240 is an equidigital number, since it uses as much as digits as its factorization.

1153146240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66761 (or 66743 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1153146240 is about 33958.0070086570. The cubic root of 1153146240 is about 1048.6441274567.

Adding to 1153146240 its reverse (426413511), we get a palindrome (1579559751).

The spelling of 1153146240 in words is "one billion, one hundred fifty-three million, one hundred forty-six thousand, two hundred forty".