11134752000 has 144 divisors (see below), whose sum is σ = 36984397632. Its totient is φ = 2969241600.

The previous prime is 11134751993. The next prime is 11134752053. The reversal of 11134752000 is 25743111.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 38007 + ... + 153993.

Almost surely, 2^11134752000 is an apocalyptic number.

11134752000 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 11134752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18492198816).

11134752000 is an abundant number, since it is smaller than the sum of its proper divisors (25849645632).

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

11134752000 is an equidigital number, since it uses as much as digits as its factorization.

11134752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116021 (or 115997 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The spelling of 11134752000 in words is "eleven billion, one hundred thirty-four million, seven hundred fifty-two thousand".