13234752000 has 960 divisors, whose sum is σ = 52978109184. Its totient is φ = 3284582400.

The previous prime is 13234751993. The next prime is 13234752007. The reversal of 13234752000 is 25743231.

13234752000 is a `hidden beast` number, since 132 + 3 + 4 + 7 + 520 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13234751993) and next prime (13234752007).

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13234752007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 357695982 + ... + 357696018.

Almost surely, 2^13234752000 is an apocalyptic number.

13234752000 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 13234752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26489054592).

13234752000 is an abundant number, since it is smaller than the sum of its proper divisors (39743357184).

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

13234752000 is an frugal number, since it uses more digits than its factorization.

13234752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The spelling of 13234752000 in words is "thirteen billion, two hundred thirty-four million, seven hundred fifty-two thousand".