1147151134080 has 1024 divisors, whose sum is σ = 4732873113600. Its totient is φ = 260407664640.

The previous prime is 1147151134067. The next prime is 1147151134147. The reversal of 1147151134080 is 804311517411.

1147151134080 is a `hidden beast` number, since 1 + 1 + 471 + 51 + 134 + 0 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1871371854 + ... + 1871372466.

It is an arithmetic number, because the mean of its divisors is an integer number (4621946400).

Almost surely, 2^{1147151134080} is an apocalyptic number.

1147151134080 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 1147151134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2366436556800).

1147151134080 is an abundant number, since it is smaller than the sum of its proper divisors (3585721979520).

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

1147151134080 is an frugal number, since it uses more digits than its factorization.

1147151134080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 1147151134080 in words is "one trillion, one hundred forty-seven billion, one hundred fifty-one million, one hundred thirty-four thousand, eighty".