13052145600 has 840 divisors, whose sum is σ = 52927390208. Its totient is φ = 3135283200.

The previous prime is 13052145563. The next prime is 13052145611. The reversal of 13052145600 is 654125031.

13052145600 is a `hidden beast` number, since 1 + 3 + 0 + 52 + 1 + 4 + 5 + 600 = 666.

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 119 ways as a sum of consecutive naturals, for example, 102772737 + ... + 102772863.

Almost surely, 2^13052145600 is an apocalyptic number.

13052145600 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 13052145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26463695104).

13052145600 is an abundant number, since it is smaller than the sum of its proper divisors (39875244608).

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

13052145600 is a wasteful number, since it uses less digits than its factorization.

13052145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

It can be divided in two parts, 130521 and 45600, that added together give a triangular number (176121 = T₅₉₃).

The spelling of 13052145600 in words is "thirteen billion, fifty-two million, one hundred forty-five thousand, six hundred".