13531752900 has 108 divisors (see below), whose sum is σ = 42450408000. Its totient is φ = 3605415360.

The previous prime is 13531752889. The next prime is 13531752911. The reversal of 13531752900 is 925713531.

13531752900 is a `hidden beast` number, since 1 + 353 + 17 + 5 + 290 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13531752889) and next prime (13531752911).

It is a super-3 number, since 3×13531752900³ (a number of 31 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1181401 + ... + 1192799.

Almost surely, 2^13531752900 is an apocalyptic number.

13531752900 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 13531752900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21225204000).

13531752900 is an abundant number, since it is smaller than the sum of its proper divisors (28918655100).

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

13531752900 is a wasteful number, since it uses less digits than its factorization.

13531752900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12738 (or 12728 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The spelling of 13531752900 in words is "thirteen billion, five hundred thirty-one million, seven hundred fifty-two thousand, nine hundred".