1156135680 has 576 divisors, whose sum is σ = 4827110400. Its totient is φ = 259780608.

The previous prime is 1156135679. The next prime is 1156135681. The reversal of 1156135680 is 865316511.

1156135680 is a `hidden beast` number, since 1 + 1 + 561 + 35 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1156135679) and next prime (1156135681).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1156135681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19595491 + ... + 19595549.

It is an arithmetic number, because the mean of its divisors is an integer number (8380400).

Almost surely, 2^1156135680 is an apocalyptic number.

1156135680 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 1156135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2413555200).

1156135680 is an abundant number, since it is smaller than the sum of its proper divisors (3670974720).

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

1156135680 is an frugal number, since it uses more digits than its factorization.

1156135680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 1156135680 is about 34001.9952355740. The cubic root of 1156135680 is about 1049.5495210455.

The spelling of 1156135680 in words is "one billion, one hundred fifty-six million, one hundred thirty-five thousand, six hundred eighty".